Solving Rational Inequalities

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  • Опубликовано: 31 мар 2008
  • 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

Комментарии • 315

  • @dogeeatsveggies
    @dogeeatsveggies 9 лет назад +152

    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

  • @petznassloukas7124
    @petznassloukas7124 10 месяцев назад +2

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

  • @constantinemeqvabidze
    @constantinemeqvabidze 6 лет назад

    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
    @cwk1417 11 лет назад

    @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.

  • @kinbaries
    @kinbaries 8 лет назад +18

    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! 😭

  • @sajeemango
    @sajeemango 3 года назад +4

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

  • @patrickjmt
    @patrickjmt  16 лет назад

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

  • @vash2722
    @vash2722 9 лет назад +73

    He teaches better than my math teacher...

  • @goofguy316
    @goofguy316 13 лет назад

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

  • @patrickjmt
    @patrickjmt  13 лет назад +2

    @AWPNubDiesel come back whenever, i am always here!

  • @kimberlysalvo8292
    @kimberlysalvo8292 7 лет назад +8

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

  • @dhruvtheonedhawan5104
    @dhruvtheonedhawan5104 11 лет назад

    well you 're simply the best math teacher

  • @patrickjmt
    @patrickjmt  13 лет назад

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

  • @ownedncut
    @ownedncut 14 лет назад

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

  • @KyanasTube
    @KyanasTube 12 лет назад

    Thanks Mr.Pat!

  • @king38ab
    @king38ab 9 лет назад +14

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

  • @RossRocks07
    @RossRocks07 13 лет назад +1

    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! :)

  • @gamesm
    @gamesm 15 лет назад

    thank u
    ur explanation is really great

  • @ffrisch2
    @ffrisch2 14 лет назад

    You are a good tutor man

  • @hrishikssh
    @hrishikssh 7 лет назад

    thank you sir..you really helped

  • @patrickjmt
    @patrickjmt  12 лет назад

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

  • @back2themusic
    @back2themusic 14 лет назад

    Patrick is the best math tutor on youtube!

  • @mark9481
    @mark9481 7 лет назад +26

    youtube had a 10 minute limit before?

    • @wizzair_offical
      @wizzair_offical 5 лет назад +3

      valarmorghulis sad days, also please rate this video 5 stars

  • @Chinunit22
    @Chinunit22 9 лет назад

    A great quick explanation, thanks!!!

  • @cframes
    @cframes 10 лет назад +4

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

  • @01rai01
    @01rai01 13 лет назад

    @patrickJMT what kind of books??? just wondering

  • @clau2gi2
    @clau2gi2 14 лет назад

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

  • @hurerayt5382
    @hurerayt5382 4 года назад +1

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

  • @hill5003
    @hill5003 6 лет назад +4

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

  • @patrickjmt
    @patrickjmt  11 лет назад

    yep

  • @rhelmetzi
    @rhelmetzi 11 лет назад

    Your so much better than my precalculus teacher

  • @metalcookiesxy70
    @metalcookiesxy70 10 лет назад +3

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

  • @kizhana
    @kizhana 12 лет назад

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

  • @chrisoca958
    @chrisoca958 7 лет назад

    I watched this at 2017. Thanks!

  • @patrickjmt
    @patrickjmt  14 лет назад

    @mundorff92 no problem!

  • @isuzubento9841
    @isuzubento9841 6 лет назад

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

  • @o32o32
    @o32o32 13 лет назад

    Thank you so much!
    This helped a lot!

  • @Kingoshahadd
    @Kingoshahadd 6 лет назад

    You are the best!

  • @Thadnill
    @Thadnill 6 лет назад

    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 :)

  • @wussly813
    @wussly813 12 лет назад

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

  • @NathanChau
    @NathanChau 16 лет назад

    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?

  • @Antoinettet
    @Antoinettet 10 лет назад

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

  • @stkeamza2
    @stkeamza2 14 лет назад

    my tears of frustration just dried up!

  • @Farwa60
    @Farwa60 8 лет назад

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

  • @orlibloom4
    @orlibloom4 14 лет назад

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

  • @gauravmishra8782
    @gauravmishra8782 7 лет назад

    woow really words cant define my haapiness thanku

  • @laren5270
    @laren5270 7 лет назад

    THANK YOU SO MUCH THIS SAVED ME

  • @zmariec
    @zmariec 12 лет назад

    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.

  • @T2Designgaming
    @T2Designgaming 9 лет назад +1

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

  • @Uluhbek97
    @Uluhbek97 10 лет назад

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

  • @mbsimmer
    @mbsimmer 13 лет назад

    @patrickJMT so what do you do now?

  • @ahmedkhan133
    @ahmedkhan133 12 лет назад

    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

  • @chelseafcfanisy
    @chelseafcfanisy 14 лет назад

    I went from tears of pain to tears of happiness.

  • @patrickjmt
    @patrickjmt  13 лет назад

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

  • @patrickjmt
    @patrickjmt  16 лет назад +1

    well, you can always post questions on videos or through my youtube account. be warned though that i get about 100+ questions a day and after working 12 hour days myself, i usually do not get around to answering many of them!

  • @merocktube115
    @merocktube115 11 лет назад

    You are the best math teacher on the internet! Your handwriting is clear and legible as well, keep it up! Definately Subscribed!

  • @patrickjmt
    @patrickjmt  12 лет назад

    @lavendretta you do the same thing

  • @muhammadkarim4048
    @muhammadkarim4048 5 лет назад +5

    Thank you teacher its relly help 1/5/2019

  • @HaziqahNazurah
    @HaziqahNazurah 9 лет назад

    thank you!

  • @kimlagrimas2367
    @kimlagrimas2367 2 года назад

    Thank you

  • @patrickjmt
    @patrickjmt  15 лет назад

    glad i could help!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @roxxyroll3r i hope the test went well!

  • @lauraperez9361
    @lauraperez9361 8 лет назад +1

    That helped thanks !!!!

  • @natcharakpratum2189
    @natcharakpratum2189 7 лет назад

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

  • @SuperDiva2345
    @SuperDiva2345 11 лет назад

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

  • @iluvNature186
    @iluvNature186 10 лет назад

    you are awesome!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @karim7ahsan glad i do not have to grade everything : )

  • @patrickjmt
    @patrickjmt  12 лет назад

    @AflakAttack good luck on the final!

  • @johannajoyreblinca9571
    @johannajoyreblinca9571 5 лет назад

    July 21, 2019 thanks this help a lot

  • @julennavin9474
    @julennavin9474 10 лет назад

    Your a legend

  • @Cyphlix
    @Cyphlix 14 лет назад

    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)?

  • @wolski888
    @wolski888 14 лет назад

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

  • @YzacharRaval
    @YzacharRaval 7 лет назад

    Now i can make my report thank you

  • @spikeeleslie
    @spikeeleslie 12 лет назад

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

  • @JITCompilation
    @JITCompilation 6 лет назад +1

    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?

  • @suriagonzales1768
    @suriagonzales1768 8 лет назад +1

    thank you sir! ☺

  • @iScoutYourAss
    @iScoutYourAss 12 лет назад

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

  • @patrickjmt
    @patrickjmt  16 лет назад +1

    my pleasure! glad to help! this is the same stuff i show people that i tutor, only i charge a lot of money to show it! : ) of course, the only problem is that you can not get any answers from a video when you ask them!
    good luck!

  • @snwangl9683
    @snwangl9683 9 лет назад +1

    God bless you man!

  • @taters1123
    @taters1123 8 лет назад +26

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

    • @sweettalklife1402
      @sweettalklife1402 5 лет назад +1

      yeah you right, dude

    • @the81kid
      @the81kid 4 года назад

      That's what I found.

    • @zainarshad5567
      @zainarshad5567 4 года назад

      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 ? ' ] '

  • @ahmadsolehin93
    @ahmadsolehin93 12 лет назад

    can u show a graphical method?

  • @TheTrueSong
    @TheTrueSong 13 лет назад

    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!

  • @regulardude2011
    @regulardude2011 11 лет назад

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

  • @wolski888
    @wolski888 14 лет назад

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

  • @patrickjmt
    @patrickjmt  15 лет назад +2

    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.

  • @amazzon44
    @amazzon44 12 лет назад

    These are great videos. Thanks for taking the time to make them.

  • @patrickjmt
    @patrickjmt  13 лет назад

    @mbsimmer stand on the corner and ask for change. sometimes i go to the public library to freshen up and make a video while i am there.

  • @patrickjmt
    @patrickjmt  16 лет назад

    no problem!

  • @MrSnowboardForever
    @MrSnowboardForever 12 лет назад

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

  • @angiefangie1997
    @angiefangie1997 11 лет назад

    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."

  • @czyrinenichladines1455
    @czyrinenichladines1455 6 лет назад

    Thanks

  • @patrickjmt
    @patrickjmt  16 лет назад +1

    aww yea! : )

  • @patrickjmt
    @patrickjmt  13 лет назад

    @rockangel7777 i have been here for about the past 2-3 years, i do not know about the rest of it!

  • @deyvikasrinivasa5996
    @deyvikasrinivasa5996 8 лет назад

    Could you do 2/x>(or equal to) x^3.2

  • @johnbaumhauer2608
    @johnbaumhauer2608 8 лет назад

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

    • @KLCII88
      @KLCII88 8 лет назад

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

  • @stratoge
    @stratoge 12 лет назад

    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
    @patrickjmt  16 лет назад

    thanks! : )

  • @racoongurl
    @racoongurl 12 лет назад

    You are amazing!! Thank you sooo much! I can actually pass my test on Monday lol, thanks to you. You were much more helpful than my teachers lol :)

  • @regulardude2011
    @regulardude2011 11 лет назад

    where are you located? can you be my tutor?

  • @hintless
    @hintless 12 лет назад

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