Multi-step inequalities | Linear inequalities | Algebra I | Khan Academy

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Compound Inequalities
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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.
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[@Squeebo234]

I learned more in these 8 minutes than I did in the entire semester

[@averymecher7165]

Oof

[@danielrisueno6053]

who didn´t??

[@moistbananas7037]

my teacher makes us teach our selves

[@pancakes2455]

yes

[@lolliesandpoppies9841]

@@moistbananas7037 same

[@mynameispredatormynameispr1231]

Khan is such a mastermind!!! He helped me so much on my quiz on Wednesday. Thanks, Khan, you are the best!!!

[@joyoung7991]

I have one on Wednesday too he just helped me understand all this 😂

[@dumbass3533]

i um, i realize this is 4 years later but khan academy is the name of the company

[@JUSSRonard]

Rae D 😂😂

[@adityaramlal5991]

Bruh did u cheat on wednesday, its legit a school dau

[@latoyabanks1685]

POV: your in online school and you either just don't understand the teacher or you fell asleep in the middle of class.

[@joelle4844]

the 1st one is what is happening to me. yikes

[@bxtterfly_bxbbles6356]

LaToya please stop exposing me girl-

[@deathstrack]

Why not both?

[@basss001]

im in 8th grade and im in algebra and i found this video very helpful in and out of class. thank you!!!

[@amantaaliti7148]

I am in algebra 1, which is difficult, and this video is very helpful... Thank you for saving my grades!!!

[@EGamer_1]

6 years later soo um what in algebra 1 now if we learn this in 7 grade....0_0

[@asylumfv]

@@EGamer_1 im learning this in 7th grade

[@EGamer_1]

It getting worse soon we will be doing this at kindergarten

[@_kurjala]

8th grade here, got an F in the first quarter 😭

[@HonestlyJustUninstall]

Same

[@adnanahmad8107]

Who needs School when u have Khan academy

[@Breyerlover4ever23]

I completed 8th grade on KA and I skipped a grade. (I'm homeschooled so I can do that if I wanted to). I'm getting really good grades on tests because Khan Academy helped so much. Everything in my Algebra 1 course is basically everything I already learned on KA.

[@hiddenleafotaku0474]

Adnan Ahmad preach bröther

[@Breyerlover4ever23]

@Big Daddy's games Thanks!

[@johnathanjones3705]

I Couldn't Agree More.

[@dumbass3533]

oh the irony

[@zozoti3793]

Ive just finished 4 lessons out of 24 and it took me 2 hours for that and now ive got a whole 20 more lessons OH GOD HELP 🤯🤯🤯🤯🤯

[@moistbananas7037]

oof

[@crazyanimators5473]

You were sent directly from Jesus himself. You HAVE to have been. Such a god.

[@starwarfan8342]

CrazyAnimators how can he be a god if there is only one lol

[@bigkritvevo1529]

If he's a god... how did Jesus send him?

[@yemixakin]

God doesn't send gods. He is the only God. Gods aren't even real. But yeah he must be sent from God to help this earth in the area of math

[@abdallaahmed780]

There's one God, does that make this guy a messenger? 😂

[@ahmadsalem8768]

🤦🏻‍♂️🤦🏻‍♂️🤦🏻‍♂️🤦

[@Kimberlyhernandez-sk3hi]

I hate math. 😭😭😭 My teacher doesn't even explain it right but hopefully he can teach me 😩😩😩

[@abdallaahmed780]

Some stuff doesn't need to be explained.

[@schalolt]

I hate math

[@moistbananas7037]

same

[@PatchesOnPaws]

Math is pain. Khan Academy somehow makes it easier.

[@mayiaandjahni]

We’re doing this in pre alg .. I have the test today 🥴 . Hopefully this bud helps .. wish me luck

[@labels._.8991]

how it went

[@Ozmxi]

@@labels._.8991 bro how she will remember that 😭😭

[@gregorygillquist4572]

THANK YOU SAL!!!!

[@redacted8418]

Thank god I have khan academy. I do not pay attention in class whatsoever lmao

[@erikabaker5861]

This man is an absolute genius. You have helped me survive math and biology. Thank you so much.

[@joelle4844]

i told my dad who is a total math genius i needed help and he told me to come here first and then go to him if i still have any problems...looks like i wont need to go to him

[@jordynseefeldt6817]

You are a life saver!!! I've been stuck on these problems for a while. Funny how you do them in the beginning of the semester and know how to do it perfectly, but by the time the semester exam rolls around, it's like trigonometry lol Thank you!!!

[@mohaalrashedi3181]

Khan academy is the only reason i am passin this term

[@DxGamer6767]

I remember how to tell the signs apart is to pretend that the signs are the mouth of a crocodile, the crocodile will always eat towards the bigger number.

[@treya5302]

thank you very much im in 7th and I had a test and made a 90 on it my grades r approved by my parents.

[@ObscenePlanet]

a teacher in elementary school taught us that the "greater than/less than" sign is hungry. It wants to eat the bigger number so the "open mouth" is always towards the greater number. I've always remembered it that way. Your way isn't as silly but it works!

[@NotCTDBravo]

On the second example why would you not combine the like terms

[@noahmski12]

They’re on separate sides of the equation

[@juanfelipe1164]

Thank u so much this was really helpful

[@scriptkiddie2677]

great video thanks.

[@Domanic1101]

thank you!!!! you teach better than my teacher in high school,, i get it noww!:)

[@AzulCeleste-hh9zp]

thank you for the vid this helped me a lot with hw

[@monicatillie3453]

I love Khan so much u are a very big help thanks.

[@iqyeet8898]

Oh my gosh thank you! this was so helpful!!!

[@corina6430]

Thanks you have helped so much!

[@YouDontGetToSeeMyEmail]

@Frostcheater Well first you'd have to distribute the parenthesis correctly. You would do this by multiplying everything in the parenthesis by 2. You should end up with the equation -n-3 ≤ 2n+2. After that you would add 3 on both sides to get the variable on the left side alone, what you do to one side you must do to the other to keep the equation correct. You should end up with the equation -n ≤ 2n+2.

[@MMush]

thnx dude

[@toyeshvyas9986]

Thanks, Mr Khan. I was in a jam in inequalities and was browsing for videos but when this video started, your simple way of teaching explained it to me immediately

[@Whyjustwhy78]

Thank you so much I have a test

[@Average_Explosion_Enthusiast]

khan your the best!!!!!

[@ms.sherlock]

First time I unstood these type problem! Big thanks!

[@unknownrob7672]

Thank you so much i never understood it but this made it so clear and easy for my quiz

[@Sparkkoz]

Lets do a nice ehhh hairy problem.

[@Js_Arash]

I learned more in 8 minutes than 20+ hours in school, thank you man

[@jonathandullnig3015]

another way to remember less than symbol is if you turn your head it's an "L" and less than starts with l

[@reik2006]

hey sal, it would be really kind of you if you do one video about absolut value inequalities like abs(abs(x+1)-2)=1 or abs(abs(2x+4)-abs(2x))=0. I still do mistakes on those despite the fact that I already should have mastered it a long time ago :/ I'm really interested in which way you approach those and keep track of the several cases.

[@JoeCnNd]

I always did Pacman always ate the bigger number.

[@KanadaVCK]

subscribed! thanks so much for your help.

[@manutube8080]

nice video!!!, waiting absolute value inequalities. Test on saturday. : )

[@gabrielhoffman8281]

ManuFrias how was your test?

[@marii1555]

WHO THE HECK HAS SCHOOL ON SATURDAYS

[@JUSSRonard]

Gaming Mary Lol

[@manutube8080]

Gabriel Hoffman passed. Just received my degree hahahah

[@PatchesOnPaws]

If my math teacher just shut up and played Khan Academy videos to teach us, I'd have an A+

[@A_bass_official]

you broke the vicious monopoly of teachers

[@justadude740]

thanks

[@ddcddxdgjvhjvb]

i have an exam tomorrow so i watched this video to help me understand, it definitely helped but for the last equation why did you add 5 instead of subtracting it?

[@ahmedfakhr525]

Thank you For the video

[@YouDontGetToSeeMyEmail]

@frostcheater After that you would add 3 on both sides to get the variable on the left side alone, what you do to one side you must do to the other to keep the equation correct. You should end up with the equation -n ≤ 2n+5.

[@paulgutierrez1367]

You the GOAT g

[@mufaddalakbari6846]

on the second example wouldnt you do divide -8x on both sides instead of subracting on both sides?

[@noahmski12]

No

[@mikerowe9688]

No because you start multiplying or dividing to isolate the variable only after you have combined all like terms and moved the variable to one side.

[@nothingyet1451]

didnt understand this and had to catch up on classes forgot to do notes for this and yeah thank you

[@sycosavage3161]

Thanks khan

[@Ohjulieannee]

how do you know if your gonna multiply or divide

[@anonymous-qc9ge]

Julissa Guerrero. if you're talking about the last step... a variable next to a number means multiplication. Do the inverse operation ( division).

[@lizavalos6021]

I understand the equations but I’ve always wonder how is it that we can add numbers to subtract and solve for x like in the first example that we subtracted -3 from each side?

[@MegaRedsoxguy]

Thanks this saved my day!

[@gamingwithansh6323]

I learnt this from you instead of my teacher who took 2 hours to teach me but I didnt get anything 😶 but hey thanks to you know I get it 😀😁

[@민우김-u9s]

so baiscly the number with x is always smaller but when the other number is negative its bigger right?

[@민우김-u9s]

Not as u so shut up

[@민우김-u9s]

K

[@deerpark5396]

Gyu Jin Park lmao

[@charlesgross5087]

Thank you

[@TheSelected1]

Thank you!!!!

[@gabriellabarragan325]

You're a god thank you

[@raebandz1948]

Wait for the second problem you did how do you which number to subtract if they both have x at the end?

[@ashtonl6122]

the second one is wrong how is 5x - 8x -3x? if you subtract x especially when the x is bigger it cancels it out I came here for help and I got nothing I go on Khanacademy.org for help and never saw this im required to go on this since I have a math in school.

[@LegendaryBeast182]

5x - 8x = -3x is correct. Make sure you don't switch the numbers.

[@Ne0nZombie]

Man, fuck algebra.

[@karthikbobba5139]

Algebra = you

[@sinceregrant3765]

This helped bro I'm a slow learner so I cant really understand well man.

[@TheWulfrum]

I can learn like actually instead of not understanding anything wow...

[@Captianmex1C0]

I got a test and homework due tomorrow But I Still don't understand the concept of swapping subtraction and addition signs and when to do it, If a Minus Symbol is Infront is it now negative? Or can you have a negative symbol and Subtraction symbol Infront of it? Or can you have a 7+-3 for example, I don't understand this, Or is it 7- -3

[@dorkle9085]

Inverse operations, if its a minus symbol. Don't get confused, I got confused too. It's to tidy up the look of the problem.

[@peytonrogers9130]

Honestly, this video left me with questions. For me, it's hard to follow along. Maybe it's because my teacher teaches it in a completely different way? Not sure.

[@seslabsdelgado7552]

i feel the same about this guys videos. some are useful to me while some he just moves to fast and does things different. its probably just me but oh well.

[@francescadausch-rivera5506]

For problem 2 (4:14 in the video), wouldn't you have to use the FOIL method to multiply 8x-5 (4x + 1)?

[@mikerowe9688]

The FOIL method would only apply if multiplying two sets of parenthesis such as (5 + 2x)(2x - 4). When you only have a multiplier at the start of a parenthesis, you use the distributive property.

[@binjimonanimations]

i think it looks like a shrink ray, and if -9 goes into the shrink ray it will be less than it's former self

[@welcometotheartworld-hk7zq]

hey but how was the anser 1/10 shouldn't we divide by -20 by 2 which will make 10

[@p33kaboo1]

Thanks so much u teach me better than my algebra 1 teacher miss. Burgers

[@chrisbanker1534]

I dont even understand this, but I learned more about math then the crappy apex the school gave me smh

[@terraria7588]

this saved me on my test

[@lolliesandpoppies9841]

THIS SAVEING ME FROM MY EXAM TOMMOROW

[@zeinabmortada9608]

which program do you use?

[@thatkid_juice3321]

Back in 2020

[@edisonnie8871]

My teacher is making me do this in 5th grade :/

[@lolliesandpoppies9841]

What this should be for 8th grade im in 8th grade when i got this

[@nicolecampbell379]

great

[@davidhendricks7904]

thnx helps a lot I'm in 8th grade and helps a lot

[@deerpark5396]

David Hendricks Dude I'm doing this stuff as a 6th grader

[@crambo4590]

David Hendricks im in 8th too and school and basketball just fuck me up

[@Breyerlover4ever23]

This is what they're teaching me in Algebra 1, lol. ( I already knew this when I was in 8th, though. )

[@starwarfan8342]

David Hendricks hows high school treating you?

[@Hi-lu5vf]

lol im learning this in 5th grade

[@simplyymorgan__967]

How did he get 20x? I get 4x. I thought you subtract 8x

[@freakyhorrorghoul]

Ok but how do i tell when i have to multiply, divide etc, in a problem like “-12>-9h”

[@lizs5375]

Why don't I understand when my teacher explains it but I do when this dude does?

[@carlosmarin7386]

Thank You :)

[@scorchedgamer6047]

how do you solve p/-8 + 9 >13

[@hagimd2]

+Amanta Aliti you do realize this is pre algebra.

[@mishkamcloud9939]

+Sahra Gure you do realize im also doing this in my algebra 1 class. so what if its pre algebra?

[@TacoMastersAssociation]

This isn't pre-algebra, lol.

[@timothyfan258]

boyyyyyyy i did this in 6th grade

[@swagemoji5731]

I'm stupid I have watched an hour of math videos and still don't understand BS.

[@spoon6937]

Taking a test tomorrow after failing a bunch of them, wish me luck

[@liamsky1234]

this helped sooo much Thank you

[@znxoffergang1236]

i dont understand anything im in 7th but this is 8th grade stuff

[@nabildipo413]

hi

[@pweetie3487]

I never understand which one you get rid of first

[@guanabana2007]

same-

[@theocuber6002]

I’m just learning this for fun. I’m 5th grade. What am I doing in high school math.

[@KayJblue]

It’s only high school math if you aren’t the sharpest tool in the shed,you’ll do pre Alg by 6th.

[@mynameisjeffyeet5871]

what does he draw on

[@placeandthink8728]

what we see is just an app, but i imagine that he's drawing with a stylus and tablet

[@dir.byaymen3085]

Online school brought me here.

[@seb_a9062]

Am watching in school

[@BTSarmy-jj2tk]

this is devekol

[@aleksheafer5684]

First

[@Josh4Kills]

I'm in 10th. . . I so stewpid.

[@vhix64]

U learned this in 10th??? I’m in 7th and this is gonna be on the state test even tho we just learning abt it 3 weeks before

[@barbashop_380]

@@vhix64 bruh 7th grader bruh

[@nothingyet1451]

online is alright but they give you more work why

[@OfficallyStudios]

Noice

[@francislacap4800]

what happens when there only an x

[@dorkle9085]

Like on all sides?

[@Royalguard292]

Took the first two minutes.. for whats taken half of a semester......