Solving Rational Inequalities

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Solving Rational Inequalities - An outline of the procedure along with 2 full examples and one partial examples are shown! For more free math videos, visit PatrickJMT.com

[@dogeeatsveggies]

he posted this vid on 2008.. but still the kids of 2014 are still learning from it.. thank you man for doing this and saving humanity LOL. i just cant believe how far a simple but good educational video can do, he did this without asking for anything in return.. thank you so much sir you're one of my favorite math youtube teachers

[@sneakrrr]

It's 2k17 and I'm here, reviewing with this video... :D

[@czeenfootballtv374]

Thanx

[@mandirasaha9586]

* 2018

[@krushnapandhare4615]

continues in 18 too

[@AD34022]

still here

[@petznassloukas7124]

a 15 year video teaches me better than my teacher. Thanks!!

[@vash2722]

He teaches better than my math teacher...

[@kaitlyndoyle1109]

+winderson guimaraes Lol I bet you that is why we are all here! My math teacher sucks!

[@forrestliu3479]

winderson guimaraes same

[@pamelabaruiz9867]

Same dude

[@kinbaries]

I like died understanding this lesson when our teacher diacussed it but when I watched this video, I was like... "Oh... So that was how it was done..." Thank you so much! 😭

[@creampuff966]

oh my god same!

[@sajeemango]

It's Oct 2020 and I find this video pretty helpful especially during this whole pandemic making it hard to learn math online!

[@constantinemeqvabidze]

Thank you man thank you......10 years have passed since this video was uploaded and still in 2018 it helped me out soooo much ... Thanks for your efforts ...

[@cwk1417]

@patrickJMT, this video is excellent for a few reasons. The set up in the beginning is extremely well done, you showed examples of different types of rational inequalities, and you described the general process of how we go about solving them before you even started your example. It felt like we were all on the same page before we got into the meat of the problem. Thank you so much.

[@patrickjmt]

@AWPNubDiesel come back whenever, i am always here!

[@king38ab]

now i can kick my math teacher ass , i love you

[@hurerayt5382]

Its 2020 and he posted this vid in 2008 and still we are learning from this❤

[@mark9481]

youtube had a 10 minute limit before?

[@wizzair_offical]

valarmorghulis sad days, also please rate this video 5 stars

[@goofguy316]

@dirt0jumping couldn't agree more you are an awesome teacher...learned more in 10mins than an hr of class

[@patrickjmt]

glad it helped! my hand writing is normally that of a first grader, but i try to keep it clear in the videos!

[@dhruvtheonedhawan5104]

well you 're simply the best math teacher

[@kimberlysalvo8292]

For the last rational inequalities' solution set - (-1,0) U [1, infinity)

[@gamesm]

thank u ur explanation is really great

[@KyanasTube]

Thanks Mr.Pat!

[@ownedncut]

maker of this video is one of the greatest human beings thanks

[@hrishikssh]

thank you sir..you really helped

[@ffrisch2]

You are a good tutor man

[@RossRocks07]

I was sick so I didn't go to school. My friend told that we learned radional inequalities. My first thought was Patrick would have a video on that...and you do. Thanks! :)

[@Chinunit22]

A great quick explanation, thanks!!!

[@kizhana]

Thankyou soo much Patrick... Great videos...:D :D :D helpin mee soo much..:) Thx :)

[@JITCompilation]

Wait.... but for the last problem, why is it bad for the top part to equal to zero? Wouldnt that still make it true, since zero is equal to zero, and the sign says greater than or EQUAL to?

[@back2themusic]

Patrick is the best math tutor on youtube!

[@chelseafcfanisy]

I went from tears of pain to tears of happiness.

[@Farwa60]

Thanks a lot!! U r a great teacher!!

[@rhelmetzi]

Your so much better than my precalculus teacher

[@Thadnill]

Hello, do you have a video with solving rational quadratic inequalities? Or is it the same strategy as in this video? Because Quadratic Rational inequalities will come on my test! Answers is much appreciated, thank you :)

[@clau2gi2]

WoW, you are the best teacher I have ever had. Thank you, Thank you, Thank you, Thank you, Thank you ;)

[@ahmedkhan133]

Hello sir, i have done lots of problems using both method of finding the associated equation then solving using this method then intervals where i have understand the intervals whether open or close but since using that method to bring fractions towards one side and then finding P(x)=0 and Q(x)=0 (those points) so here i didn't understand whether intervals would be open or close . Thanks : Regards Ahmed

[@patrickjmt]

@nLoL2 i used to stand in front of a board and bore people, yes. not any more though.

[@chrisoca958]

I watched this at 2017. Thanks!

[@o32o32]

Thank you so much! This helped a lot!

[@metalcookiesxy70]

Thank you so much, I needed that help so much; don't know how much this means to me..Thank you.

[@cframes]

Brilliantly stated! Excellent way of breaking down concepts into simple to understand terms.

[@muhammadkarim4048]

Thank you teacher its relly help 1/5/2019

[@zmariec]

On that last problem, would you end up multiplying that x in the bottom denominator out? You have x(x+1); would x^2 +x be more difficult or not matter at all? I'm just wondering if there's a reason you didn't.

[@Kingoshahadd]

You are the best!

[@NathanChau]

Thank you so much!! My teacher was tryin to teach this and man were we lost. Your video was clear, detailed, and straight forward. Thanks again. By the way did I mention you have reali neat writing?

[@01rai01]

@patrickJMT what kind of books??? just wondering

[@Uluhbek97]

is (-infinity, -2) correct interval notation?

[@hill5003]

I'm not in high school yet, but this video helped me understand this concept a little more, thank you!

[@MrSnowboardForever]

I am in the 11th grade watching this. Lol keep up on your math kid, it really will catch up to you.

[@gauravmishra8782]

woow really words cant define my haapiness thanku

[@iScoutYourAss]

dude u make more sence then my math teacher...

[@wussly813]

How did you know to test 5 for the intervals? Is it just any number?

[@lucilou8177]

This video was posted in 2008. It’s November of 2017 now. Almost 10 years later and this video is still saving college algebra grades 😂

[@Cyphlix]

can anyone tell me why you cant simplify the last fraction to just -1/x ? -1(x+1)/x(x+1) should equal -1/x right? (eliminate (x+1) on numerator & denominator)?

[@mbsimmer]

@patrickJMT so what do you do now?

[@spikeeleslie]

@spikeeleslie minus sign is meant to be a less than sign

[@stkeamza2]

my tears of frustration just dried up!

[@patrickjmt]

yep

[@patrickjmt]

@mundorff92 no problem!

[@iluvNature186]

you are awesome!

[@isuzubento9841]

Simple and straight to the point with a touch of clarity. Ever considered teaching as a profession?

[@patrickjmt]

@nouh220200 to determine which intervals of numbers work and which do not.

[@TheTrueSong]

I have one question: I was always taught when you had an equation that has a "Greater or Equal to" sign you shaded in the dot, but on your second example you left it open meaning "Stricter Than", you explain it as being "undefined" how did you figure that out? Thanks so much in advance!

[@johannajoyreblinca9571]

July 21, 2019 thanks this help a lot

[@Antoinettet]

i've been watching you for a year now!!thank you so much for everything!!

[@leylasolmaz3978]

could you write correct answer sir? I found (-1,0) U [1, infinity )

[@lauraperez9361]

That helped thanks !!!!

[@HaziqahNazurah]

thank you!

[@wolski888]

Is this the algebraic way? or graphic since you use a number line..which is the x-axis.

[@wolski888]

Is union or "u" used in the US? because I'm from Canada and we use just "OR"

[@laren5270]

THANK YOU SO MUCH THIS SAVED ME

[@patrickjmt]

@goofguy316 thanks. glad i was able to make some sense out of it for you

[@natcharakpratum2189]

i dont understand the or, and inequalities problem from school, would show us how to do please

[@suriagonzales1768]

thank you sir! ☺

[@MrMcsharry]

@ 6:40 why is there a circle round 3 is it not... ...-4/x-3

[@regulardude2011]

I have a question. Is it possible to get one "open circle" and one "closed circle", caz thats what i got

[@faizcube007]

i think you should have placed a square bracket when you wrote the solution to the second rational inequality, because there was an equal choice as well... {3,+infinity)

[@orlibloom4]

@wolski888 What part of Canada are you from? I'm from Manitoba and we use Union. So, not just a U.S thing.

[@patrickjmt]

@roxxyroll3r i hope the test went well!

[@T2Designgaming]

Which is better, this method or a sign table? Thanks for the video as well.

[@kimlagrimas2367]

Thank you

[@maribates]

@Brutal252 He didn't explain, but the reason 3 is not included is specifically because it is not in the domain of the f(x), I don't know why he didn't point that out. Am I right?

[@taters1123]

For the last one I got X E (-1, 0) U [1, infinity). Who else got the same answer?

[@sweettalklife1402]

yeah you right, dude

[@the81kid]

That's what I found.

[@zainarshad5567]

I got that -1 ,0 ,1 are not equal to or less than zero but infinity is . I have 2 questions 1)if -1,0,1 does not satisfy the equation then why do we just write them in solution set ,and if we write them then why 1 is opened with this bracket ? ' ] '

[@stratoge]

Man you know my math teacher makes these rational inequalities all complicated. with many exponents, and canceling alot if they don't matter on making the equation positive or negative

[@patrickjmt]

the most flattering comment ever! however, once you mentioned babies, you lost me. typical guy, i guess. still, very nice of you. : ) a lovingly cooked meal is always most appreciated.

[@TragicTofu]

Hi PatrickJMT! You are so helpful! I am pretty sure I understand your method. But when I type the inequalitity into a calculator the answer is different! PS do you never have an greater/less than and equal sign because the denominator is always 0?

[@ahmadsolehin93]

can u show a graphical method?

[@julennavin9474]

Your a legend

[@patrickjmt]

glad i could help!

[@patrickjmt]

@AflakAttack good luck on the final!

[@Ronaldoo91]

because u gotta set it equal to zero, cuz when u start plugin in numbers, u gotta know if its greater or smaller than 0

[@YzacharRaval]

Now i can make my report thank you

[@patrickjmt]

no problem!

[@patrickjmt]

@lavendretta you do the same thing

[@snwangl9683]

God bless you man!

[@nouh220200]

Why do I test points ? what is the purpose ?

[@johnbaumhauer2608]

Wouldn't the 2nd problems answer be [ 3, ∞) ? Because the original inequality asks for ≤ 0 not just < 0 ?

[@KLCII88]

+John Baumhauer You can't include 3 since it makes the denominator 0.

[@SuperDiva2345]

You are saving my grade. I have an A because of your tutorials.

[@angiefangie1997]

How can you do this without a number line? By changing the sign or something like that, that's what I'm stuck on. My book calls it, "Considering the variable."

[@Skaoidao]

Excuse me, how would you solve ones with absolute value in rational inequalities???

[@GibThom]

i can smell that sharpie....

[@hintless]

@faizcube007 but 3 didnt satisfy the inequality becuase it was undefined

[@patrickjmt]

aww yea! : )

[@spikeeleslie]

how would I solve (4x-3/x-1)-(x+3)

[@joanlynch5271]

On the second problem, -4/x-3, why didn't you use -4 as part of the solution?

[@user-mm7hb6mq6h]

-4 is not a solution for x, there is no x in the numerator