Quadratic Inequalities (Grade 9) | Grade 9 Maths Series | GCSE Maths Tutor

A video revising the techniques and strategies for completing questions on quadratic inequalities - Higher only (Grade 9)
This video is part of the Inequalities module in GCSE maths, see my other videos below to continue with the series focussed on Inequalities.
Useful videos to watch before this one:
Factorising Quadratics (Higher & Foundation) | GCSE Maths Tutor - kzbin.info/www/bejne/eYHdiK2iaLpofck
Factorising Harder Quadratics (Higher Only) | GCSE Maths Tutor - kzbin.info/www/bejne/enbSlpx8ibR3d7c
The Quadratic Formula | Grade 7-9 Maths Series | GCSE Maths Tutor - kzbin.info/www/bejne/raTVq4uDndFnqKs
These are the calculators that I recommend 💎
Casio fx-83GTX Scientific Calculator, Black - amzn.to/2P2cyGG
Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz - amzn.to/2sw2Moz
These are the new revision guides I recommend 💡
Higher - New Grade 9-1 GCSE Maths Edexcel Student Book - Higher (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/366PltG
Foundation - New Grade 9-1 GCSE Maths Edexcel Student Book - Foundation (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/2PpbjBF
Revision videos:
The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - kzbin.info/www/bejne/bnKWlKWngMdkaas
Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - kzbin.info/www/bejne/pWq5po2eeNaFaLc
All The Topics You NEED To Know For The 9-1 Maths GCSE 2020 (Higher) - kzbin.info/www/bejne/p4WQfmp5ZsiBisk
More videos in the Inequalities series:
All of Algebra in just over 1 hour!!! - kzbin.info/www/bejne/goGueWNqg9xrkM0
Part 1 - Solving Linear Inequalities & Drawing on a Number Line - kzbin.info/www/bejne/j3u8mXuHfNSjg7M
Part 2 - Graphical Inequalities - kzbin.info/www/bejne/j3u8mXuHfNSjg7M
Part 3 - Solving Quadratic Inequalities - kzbin.info/www/bejne/l4WlY6Oagdt8p9k
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🔹 Practice the questions
🔹 Mark your work
🔹 Review everything you have learnt
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[@idrk1507]

I followed you since Y9 and I’m in in Y11- in those 2 years I noticed that you always try to respond to people and are very polite in doing so. This is often overlooked/unappreciated, so I just want to say thank you for taking your free time out to help students :) It really means a lot

[@TheGCSEMathsTutor]

Thank you so much for noticing all the extra effort that goes into the channel, I’ve always felt that it was important to respond in some way or another and acknowledge those that have been proactive in their studies to self teach themselves a complex subject! Glad to know that it doesn’t go unnoticed, thank you!! So glad to hear that you have been following the channel for a few years now, I’d love to know how you get on with your mocks and final exams this year, please do let me know and if I can be of any help along the way even if it’s just directing you to any videos or resources 😁🙏🏼

[@zq1921]

@@TheGCSEMathsTutor your efforts never go unnoticed sir. Best teacher on KZbin!!!

[@paypal6606]

No one asked

[@idrk1507]

@@paypal6606 I made someone angry

[@experloe]

@@idrk1507 so randomly as well lmao

[@maddyscott6132]

The best Math's teacher that ever lived. You are a genius. Thank you so much for putting these videos together. I can't tell you enough how much you have helped me.

[@TheGCSEMathsTutor]

Thank you so much for the kind words that’s made my night! I’m so glad the channel is helping you 😁🙏🏼

[@shahdmeziati-mine6914]

when I get a question wrong I always feel like giving up but I know I can do it and I want to achieve a grade 7+ and need to put in the work. Also thanks for your videos they really help!!!

[@Anime_World1168]

same

[@shush1904]

what grade did u end up getting

[@narrek6600]

@@shush1904 lets hope he got an 8

[@hamzahwaheed9528]

I feel like this as well as if you do give up now then you're giving up in life

[@wooeowelwke]

i honestly wish i found out about your channel earlier because you make maths so easy to learn and it feels like less of a chore. plus that intro is just a massive boost of confidence to keep going so that all this hard work will be worth it in the end. i only found out about you a few days before paper 1 and honestly watching your videos makes me feel a lot better and prepared for these papers. thank you so much for everything you're doing! i'll be back on result days to hopefully let you know what i managed to get :) edit: just reminded myself that i'll also definitely be telling my sister to use your resources for when she enters year 10 because i swear they're actually the most helpful thing ever and i'm sure she'll be able to achieve a 9 that way.

[@TheGCSEMathsTutor]

Well I’m so so happy that you found the channel before your first exam at least! Thank you so much for the kind words I’m so glad to hear that the channel has been helpful and that you have enjoyed using it so much! Please do let me know how you get on and keep in touch, hopefully your sister finds it as useful as you have! Best of luck in your exams 😁🙏🏼

[@wooeowelwke]

@@TheGCSEMathsTutor i will definitely keep in touch and be sure to let you know how my sister finds it. or in fact you might even end up hearing from my sister herself how helpful your videos are! thank you again :)

[@TheGCSEMathsTutor]

@@wooeowelwke Aaaah amazing! I certainly hope so! No problem at all! 😁🙏🏼

[@wooeowelwke]

@@TheGCSEMathsTutor helloo im back to let you know i managed to get a 7 in maths and im really happy about it. it was honestly all thanks to your channel so thank you a ton!

[@infinity8362]

every time i watch you i feel so much more confident 🙌🏼

[@to_discover_life]

Thanks so much for this it helped a lot. I was completely stuck on this topic until this lil gem of a video saved me. Keep it up you bloody legend.

[@TheGCSEMathsTutor]

So glad to hear that! Thank you for the kind words 😁🙏🏼

[@ARTOFSTICK]

i really couldnt understand this in class but thanks to your simplified explanation now I do. :)

[@Pwnage-ss3um]

Thank you so much man, my class throughout the years has been of very mixed abilities which meant the teacher couldnt move on as fast so we were up to the point when we did 1 topic for 3 weeks so i knew i had to work at home and when i came across your channel it's helped me to revise so much i went from a grade 5 topic in school for 3 weeks to doing 3 grade 9 topics a week and fully understanding them thank you so much!

[@TheGCSEMathsTutor]

Wow that’s unreal!! Good on you for going out of your way to do that, amazing attitude!! So glad to hear I could help 😁🙏🏼

[@user-yq6fi5qs5o]

Thank u sir ! Your video's are really helpful, we (students) appreciate you for your effort .

[@zohaibgulawan9070]

Finally Finally understood this thank-you so muchhh😊

[@lukewynne5971]

Thanks! I recently got a question similar to the question were you find the values of n, i found it challenging, thanks to this video i am now confident in answering these and will hopefully do well with questions regarding inequalities in the future.

[@hellofriends5662]

you are the best teacher ever thank you so much!! deserve the world😃

[@zainailyas8335]

Thank you so much for all the effort you put into these amazing videos they are so so useful !! I have paper two tomorrow and feel a lot better and more prepared for it all thanks to your WONDERFUL videos

[@TheGCSEMathsTutor]

So glad to hear it’s been helpful! Have you checked out the practice paper I posted yesterday too? 😁🙏🏼

[@Masowe.]

i finally got there...great one

[@TheGCSEMathsTutor]

COSTIE TV amazing 😁🙏🏼🙏🏼🙏🏼🙏🏼

[@zsr0683]

Hi GSCE maths tutor i am in year 11 and got 2s all throughout year 10 and always accepted a dislike to maths and thought i would fail one day i came across your videos and i tried really hard to self teach alot of subjects as my teachers techniques just didnt work for my brain after using your videos i got a 5! i know its not great but it meant alot to me at my mocks as id never passed maths before and didnt know why i hadnt been moved to foundation in my GSCE i am really hoping for a 6 or a 7 and it is possible because of you thank you with all my heart your videos have truly changed my opinion on maths thanks so much

[@TheGCSEMathsTutor]

Wow this is spectacular!! That progress is unreal and you should be incredibly proud of yourself, it takes a lot of hard work on your end to achieve that, don’t say it’s not great though as it’s absolutely brilliant!! I’m so glad the channel has worked for you and I’ve been able to play a small part in your progress, please do keep in touch and let me know how you get on, keep up the fantastic work, you’ve got this 💪🏼

[@zsr0683]

@@TheGCSEMathsTutor Thank you so much for replying !! I love how much you care about your students it’s amazing to see i will reply on results day and let you know my result thank you so much!

[@R4qayyah]

@@zsr0683 what did you get?

[@Slenderman-zd9tv]

Yo sir at 13:10 shouldn’t the part inside be -49 cause it’s -7 squared which is -49 but you put positive 49 I might be wrong just asking

[@zsr0683]

@@R4qayyah i got a 7 :) sorry for the late reply

[@thearmchairanarchist9403]

Hi,amazing video!I was able to comprehend the information. Thanks!

[@ryan-fr6xz]

Thank you for this video! After watching around 12 videos, this is the only one which makes sense! Keep it up. 👍

[@TheGCSEMathsTutor]

Awesome, thank you! So glad it helped 😁🙏🏼

[@malmawellala6962]

watched tens and hundreds of videos but this takes the throne. woah you got a awesome teaching talent. plz continue uploading more useful videos

[@danielclare2079]

Helped so much, it finally clicked, thankyou

[@ivanakona392]

Hi,how would u know when to write an ineqaulity like this x

[@5kinz]

thank you so much for this. the tip of above ground and below ground is so helpful

[@tahlillabib3437]

THANKS SO MUCH I WAS STUCK IN THIS TOPIC

[@lolllhello7718]

Thank you great video 👍👍👍👍

[@Mathspaperks1ks2]

Great video sir good job well explained!!

[@MarrSar-wz7xq]

Woah the last one was a surprise, I was able to solve it because of your amazing videos!! However, just wanted to ask, I did write 0

[@m33sh50]

hi i was just wondering for the first one could you not use (x+6) and (x-1) instead of 2 and 3?

[@manojradhakrishnan7093]

Would it be okay to factorise the denominator into n(n+5) and the numerator into 6 x n and then cancel out the "n"s? From there I got the same answer. And thank you so much!! Very helpful

[@loislincoln5985]

i'm absolutely useless at maths and i don't know why i'm doing higher. i got a 4 in my mock and was really hoping for a 6 but my paper 1 went quite badly, i don't want to give up trying and your videos are really helping me understand a lot of topics i never thought i'd be able to, so thankyou very much for all your fantastic work!!!

[@swick772]

how did final exams go?

[@loislincoln5985]

i got a 5 which is what i needed to get into sixth form and i'm so happy i never have to do maths again!!@@swick772

[@anna-394.]

Thank you so much this is so helpful, you are the best at explaining maths. Do you know if in the exam we have to draw the graph? Would we get marked down for not drawing it even if we get the answer correct?

[@TeghvirSingh-jv3jt]

Excuse me, don't you have to know it in set notation as well?

[@apollosgreen8841]

Thank you so much this video really helped with my understanding of quadratics

[@TheGCSEMathsTutor]

Amazing news! I’m so glad to hear the channel has helped 😁🙏🏼

[@nasarali8202]

How do u know if the range of values are within - 2 and - 3 or outside the range for the example in the video

[@TheGCSEMathsTutor]

Nasar Ali have a look at wether it’s above or below the x-axis. If it’s a singular part of the parabola (below the axis) then it’s inside the range, of it’s two parts of the parabola (above the axis) it’s outside the range 😄

[@SukhdevRehinsi]

Life Saver!

[@TheGCSEMathsTutor]

Sukhdev Rehinsi Thanks! 😁

[@acjccharlesworth8718]

Thank you! I have been killing myself on this for soo long and omg its so simple

[@leenaelsharif1374]

impeccable explaining

[@vshayne70]

for the n is an interger such that 3n... question, for the second inequality i got 2

[@nikkisippy6290]

thanks for these videos you’re truly a lifesaver and make math seem fun and easy!

[@INeedGooderGrades]

@TheProdigy-sg5ns the prodigy just be quiet u dumb moron I'm in set 1 and I got a grade 8 in my mocks you got a grade 7 hahaha cry baby.

[@INeedGooderGrades]

@@nikkisippy6290 maths is lightwork I got a grade 8 in my recent february mocks without revising for any of the 3 papers. and I know the prodigy in real life and he knows me too he had to revise for solid months and he only got a grade 7M in total for his maths and this idiot moved up to set 2 from set 4. can u believe it. and I didnt even revise for any subjects and I got all grade 8's and one grade 5. I'm even smarter than you what idiot doesnt define what set their in u probably do foundation maths lmao pretending to sound so smart in a grade 9 video...

[@nikkisippy6290]

@@INeedGooderGrades Sorry but who are youLMAO and damnn

[@INeedGooderGrades]

@@nikkisippy6290 oh hello noob - joking how was your gcse's so far nah the prodigy this time round defo got a grade 8........

[@melomai3654]

You are a life saver! Thank you so much

[@TheGCSEMathsTutor]

Amazing news! Glad to hear it 😁🙏🏼🙏🏼

[@melomai3654]

@@TheGCSEMathsTutor I have a question, what do we have to do if it's the curve with two turning points and the question says there are three solutions

[@TheGCSEMathsTutor]

@@melomai3654 Then you’d be likely sitting an a-level paper... here is the topic though kzbin.info/www/bejne/eZbKZauIgaiDsJY 😁🙏🏼

[@melomai3654]

@@TheGCSEMathsTutor Thank you so much 🙏

[@melomai3654]

@@TheGCSEMathsTutor Do you by any chance have a channel for physics?

[@Deltrixx_X]

18:18 I'm a bit confused, isn't 3.62 closer to 4?

[@pjk9681]

At 16:32, why when dividing by 2 first is the answer different? 2x^2 -10x +10 < 0

[@e.ellanoe]

Hello sir, your videos have been really helpful though I do have a question, for the first question, why are the solutions minus 2 and minus 3 instead of positive 2 and positive 3? And also, if we have two solutions do we add them both into the answer or only one?

[@PK-wn4rf]

Why can x only be bigger than 5 and not less than at 4:00? like how do I know if the point are inside the parabola or on the outside ?

[@Cartoons33366]

Ok why x-2 what rules does it follow can u please describe me the whole rule for quadratic in equality Please🥺👃👃👃👃👃

[@TheGCSEMathsTutor]

I’m not sure I can explain any better in a comment than I tried to in this video, could you explain exactly which part you are unsure about? It’s all related to how many parts of the curve you are looking at, 2 parts will be 2 separate inequalities (smaller than the smaller solution and bigger than the bigger solution) and 1 part of the curve will be an inequality between the 2 solutions! Hope this helps 😁🙏🏼

[@kieratsahota6835]

At 14.43 why is the graph not showing a negative 4.618 where as when you worked it out for minus 2.382 you changed it to a positive?

[@TheGCSEMathsTutor]

Kierat Sahota This just refers to the symbol I used in the calculator when using the quadratic formula, if you aren’t 100% on the quadratic formula I have a video for that in my algebra playlist 😁🙏🏼

[@neveregret8328]

I’m in year 10 and this really helped

[@TheGCSEMathsTutor]

So glad to hear I could help 😁🙏🏼

[@redeyefr]

basically if the equation is less than zero then x will be within 2 values whereas if it is greater than zero x will be less than a certain point up to negative infinity and will be more than a point up to infinity

[@TheGCSEMathsTutor]

Absolutely spot on! If the quadratic is negative however then these will swap 😁🙏🏼

[@redeyefr]

@@TheGCSEMathsTutor yes that makes sense as the parabola is flipped the other way around

[@TheGCSEMathsTutor]

Exactly! 😁👏🏼👏🏼

[@calcpost3641]

Sir in a non calc paper would we be expected to factorise using the quadratic formula???? if a,b,c were whole numbers???

[@yourlocalpostman]

yeah the quadratic formula can come up in a non-calc paper

[@xena3482]

um. no. v doubtful

[@nelsonwong8347]

Ur amazing dude

[@idrk1507]

Sir how do you know how to sketch the graph? In other words, how do you know the y-intercept? Is the y intercept the constant in the equation given?

[@TheGCSEMathsTutor]

The y-intercept is the constant yes, as when you substitute x=0 (the y-axis coordinate) into the equation you always end up with the constant! This helps to sketch the graph correctly once you have factorised to get the roots 😁🙏🏼

[@chriswashingtonbeats]

@@TheGCSEMathsTutor hi what do you mean by constant in the quadratic?

[@TheGCSEMathsTutor]

@@chriswashingtonbeats the number at the end without any letters with it 😁🙏🏼

[@chriswashingtonbeats]

@@TheGCSEMathsTutor oh ok thanks sir

[@alishbarasool2619]

For 8:34 would the answer still be correct if we put -0.6 instead of -2 over 3?

[@injwction]

yes

[@narrek6600]

this is so easy now thanks man

[@TheGCSEMathsTutor]

No problem at all! Glad to hear it 😁🙏🏼

[@epicrobloxgaymer69]

how do u know which way round the numbers go like at 9:56 i did them the other way round and idk how to tell which way is right

[@arsh9974]

saMe

[@HasanAhmed-zw4tv]

hi, for 10:24 can u put -0.5

[@bartoszbajrak5911]

Its the same thing so ye

[@iamDurbar69]

Can you make some videos on add maths igcse topics please like the full syllabus as you did for Maths D

[@teamsupers9046]

i went to a 4 to a 8 with u bro i love u nearly at a 9

[@WardaCuisine1]

Linear inequalities in one variable Is the same way you solved plz reply i'm confused

[@user-nh1qp5ne5e]

got my igcse tommorrow- I always only just get a nine so praying for a nice paper, a nine in maths would be amazing. Thanks a lot!

[@h_kh2008]

How did it go?

[@h_kh2008]

Do you have any advice for me, as I am doing my igcse in May/June

[@MKhan-qe9lp]

Aio sir great video.just asking sir can't seem to find box plots or cumulative frequency.I don't think I can find it.sorry for the trouble

[@TheGCSEMathsTutor]

Warrington Wolves all in the statistics playlist here: kzbin.info/aero/PLqxP5EuGxPneuoIZWovAfOXUVlvlv3SSM 😁🙏🏼🙏🏼

[@MKhan-qe9lp]

Cheers.you're a special human being.much appreciated.

[@TheGCSEMathsTutor]

Warrington Wolves Thank you 😁🙏🏼🙏🏼

[@NotSoPuzzled]

Thank you

[@luangj2866]

thank you

[@BOT-sy7sw]

Sorry I’m really confused about 10:15, how is the negative of 1 -0.5? I just don’t get it at all. Otherwise great video as per usual. I’ve got my mocks in about 5 days now so i need to revise everything and you’ve really helped with maths a lot!

[@Mathspaperks1ks2]

If you set the brackets equal to 0 and solve each bracket separately it gives you the answer of negative halve and positive 1 if you look at the bracket (2x+1)(x-1)=0 and then solve that respectively!! Hope it makes sense

[@myxion2671]

when you are solving each of the brackets, you have to find the value of x in the bracket it is 2x so the value needs to be halved to find the value of just x so (2x+1) becomes 2x = -1 then in order to get 1x you must half -1 to get -0.5 hope this is helpful

[@bbrabitt]

@@myxion2671 i was looking for a comment that asked this , thanks

[@PK-wn4rf]

This video was great but just one question..How do you know that the parabola is that way round ?

[@TheGCSEMathsTutor]

As they are positive coefficients of x^2 😁🙏🏼

[@PK-wn4rf]

Thank you for a quick reply 😊

[@TheGCSEMathsTutor]

@@PK-wn4rf No problem 😁🙏🏼

[@Protiger5670]

Carrying me in these last few weeks 😂😂😂

[@shimaaelbaz208]

Thanks

[@thesandsallad9856]

thank you sir

[@TheGCSEMathsTutor]

My pleasure 😁🙏🏼

[@Shanu08]

you know at 16:36 can i not divide the equation by 2 to simplify it? because it has the coefficient of 2. Your videos are really helpful keep up the good work 😊

[@georgia979]

anyone else just jam out to the intro?.... lmao

[@TheGCSEMathsTutor]

Haha glad you like it! 😁🙏🏼🙏🏼

[@darnellbailey5038]

thank youu

[@kieratsahota6835]

Where is your solving simultaneous equations

[@TheGCSEMathsTutor]

In the algebra playlist!! 😁🙏🏼 Or the link is here - GCSE Maths Revision - Simultaneous Equations (Higher & Foundation) | GCSE Maths Tutor kzbin.info/www/bejne/aJvVmIt9Zb2mecU

[@TheGCSEMathsTutor]

Unless you want quadratic simultaneous equations of course in which case it’s here - Quadratic Simultaneous Equations | Grade 9 Maths Series | GCSE Maths Tutor kzbin.info/www/bejne/d3a3mZ-Ol7-HZ9U

[@lailataluminousnight8064]

@@TheGCSEMathsTutor i know this is late but thank you on his behalf😊

[@harsonpakeer7499]

amazing video

[@Mathspaperks1ks2]

I agree!!

[@wagwannigs]

im confused at 10:00 how is this possible beacuse dont either -1 or 1 have to be multipilied my 2?!

[@cchloe_]

you do: 2x * x = 2x^2 2x * -1 = -2x 1 * x = x 1 * -1 = -1 so, 2x^2 - 2x + x -1 = 2x^2 - x - 1 is equal to the equation he got the half from dividing the 1 in (2x + 1)

[@sofiayazkhan]

is it just me who vibes to the intro song of these videos 😭

[@exorbitance550]

bruh quaadratic inequalities are easier than I thought

[@TheGCSEMathsTutor]

So glad to hear it! 👏🏼👏🏼

[@ieatalot4189]

12:25

[@methujalithumpalliyaguruga2105]

Can I get the worksheet.

[@TheGCSEMathsTutor]

I don’t make worksheets YET unfortunately! Maybe soon though 😁🙏🏼

[@jannatulnaima4278]

The intro is something else

[@TheGCSEMathsTutor]

Glad you like it… hopefully 👀🤞🏼

[@Raf-pv7mp]

Hi sir, for 6:08, 2nd question, why isn't -6

[@charlotteennis885]

i think because if it was exactly -6 it would equal 0 and it asks for the inequality

[@spytex5268]

perfect, but i dont get why when >0 the roots at the end are >x and x< each time why are they different?

[@TheGCSEMathsTutor]

Watch the start again, two separate lines above zero and one line between two points below zero 😁🙏🏼

[@spytex5268]

@@TheGCSEMathsTutorthank you u are the goat

[@TheGCSEMathsTutor]

@@spytex5268 my pleasure! Thank you 😁🙏🏼

[@anwar4176]

need a grade 7 for a level amen

[@MohamedAli-xj1vc]

Hi sir. My teacher has told me to use the quadratic formulae when answering these questions. Can you use the quadratic formulae as when I did a previous question and used your method. It was not right. The question was X^2-5x+6

[@TheGCSEMathsTutor]

You can do but it’s not ideal without a calculator when the quadratic factorises, the one you mention is (x-2)(x-3)

[@MohamedAli-xj1vc]

@@TheGCSEMathsTutor thank you very much I know understand !

[@mouadai2235]

I’m getting too distracted looking at the comments

[@TheGCSEMathsTutor]

A quick break in the comments section never hurt! Just remember to go back to the video 😁🙏🏽

[@hsillams]

sorry i still dont understand why you turn the positive answers into negatives even when the equation is bigger than 0

[@rhetoricaltortoise20]

For example, if (x+4) is one of the solutions then to find y, the solution would be x+4=y so subtract 4 and you get y=x-4 2:02

[@taymalameh1655]

perfect video but that last question is dirtyy

[@erenyeager6668]

ah nvm just go on hegarty maths and he'll explain it better, no offence sir, its just this topic is slightly confusing

[@erenyeager6668]

icl this is way too confusing

[@PotatoCatt14]

ur extremely fast-

[@alanszafarczyk4068]

I don't like Quadratic Inequalities