Solving Algebraic Inequalities

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  • Опубліковано 8 лип 2024
  • We've seen lots of equations, which are constructs that equate two things, but there are also inequalities, which state that two things are not equal, but rather that one is greater than or less than the other. We can solve this just like equations, but there are one or two little differences that we have to go over. Check it out!
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КОМЕНТАРІ • 103

  • @aoudau7451
    @aoudau7451 4 роки тому +58

    he do be vibibing in the intro doe

  • @priyasingh_rajput
    @priyasingh_rajput 2 роки тому +50

    It's been two years for me to study maths but now I have to prepare for entrance exam and this playlist helps me a lot :)

    • @AngelicBambi
      @AngelicBambi 9 місяців тому +1

      Oh em gee I'm also watching this video while preparing to do an entrance exam!! Did you get in?

  • @justbbricks
    @justbbricks 3 роки тому +69

    “I fear no man, but that thing... Professor Dave... it scares me.”

    • @f1shy27
      @f1shy27 3 роки тому +3

      Lol 😂, Love that meme!

    • @Miascorpion
      @Miascorpion 10 місяців тому +2

      @@f1shy27🤣🤣🤣😂😂

    • @f1shy27
      @f1shy27 10 місяців тому +3

      @@Miascorpion I didnt even remember i commented this. wow 2 years ago

    • @Miascorpion
      @Miascorpion 10 місяців тому +5

      @@f1shy27 yeaaaaa time goes very fast((:

  • @orbon60fps75
    @orbon60fps75 3 роки тому +20

    the professor dave explains in the intro gives me chills 😂🤣

  • @matthewcalleros7249
    @matthewcalleros7249 3 роки тому +9

    thanks a lot ive been having a lot of trouble with inequalities and was really stressed out but this vid helped ty

  • @tammymaloney4816
    @tammymaloney4816 3 роки тому +5

    Very helpful! Thanks

  • @jacklinemmaduagwu8037
    @jacklinemmaduagwu8037 2 роки тому +3

    Good job in teaching inequalities,👍DAVE

  • @deckkorriyow8241
    @deckkorriyow8241 2 роки тому +2

    thanks man it really helped .

  • @ParmelionHoughton
    @ParmelionHoughton Місяць тому +1

    Last equation has two ways to solve. One way gives you 6

  • @Williamfurno962
    @Williamfurno962 4 роки тому +13

    love the intro

  • @xoash9641
    @xoash9641 8 місяців тому

    thanks❤

  • @lanzibangli1259
    @lanzibangli1259 3 роки тому +3

    a > b = b < a

  • @Decco6306
    @Decco6306 3 роки тому +17

    Dear dave,
    Hi.
    KipperKlank.
    (Oh yeah, you have no idea how fun it is to rediscover all the shit in math I never paid attention to in middle school/high school. Thank you.)

    • @aidangreaves7188
      @aidangreaves7188 3 роки тому +1

      why curse?
      are you a christian?

    • @Decco6306
      @Decco6306 3 роки тому +3

      @@aidangreaves7188 Why complain? Are you upset?

    • @Decco6306
      @Decco6306 3 роки тому +1

      @That Multistan I like potatoes and green beans with my roast thanks.

  • @rohithrajstudies2136
    @rohithrajstudies2136 10 місяців тому

    in the last problem why did the sign changed were X

  • @kaiserkonok
    @kaiserkonok Рік тому +2

    You must do every exercises given in the video to test you that you have learned it properly

  • @samuela1918
    @samuela1918 6 місяців тому +2

    How can an positive X be less than an negative number?

  • @ajmalabidinnur2173
    @ajmalabidinnur2173 2 роки тому

    OH MY GOD! WHAT IS NOT IN THIS CHANNEL?!

  • @ljr6490
    @ljr6490 7 місяців тому

    Holy crap I didn't believe it was that simple

  • @SmithJohn-kf7jq
    @SmithJohn-kf7jq Рік тому +2

    Is it okay if you write 3 is less than x for the last equation? Because x was on the right side, that's what I got, and forgot to put x on the left. Since it's still the same answer but written differently, would it be okay? or does x always have to be on the left side?

  • @trinitycat1723
    @trinitycat1723 4 роки тому +14

    that intro though.
    "NOICE!"

  • @mikeymikey3085
    @mikeymikey3085 Рік тому +1

    Hi,
    Is it true that any number has decimal point ? If yes how can we prove it ?
    Thanks

    • @ramblingsFromJim
      @ramblingsFromJim 6 місяців тому +3

      If there is no decimal point present, it is assumed to be at the very right of the number (ie, 34 is actually 34.0)

  • @ninisinterlude
    @ninisinterlude 3 роки тому +2

    Can someone please answer this before I submit or just please answer? How does 3x divided by 3 equal zero?

  • @muhammadsalam-dev
    @muhammadsalam-dev Рік тому +2

    If the equation is
    (3x-8)/-2 < 5
    then
    3x-8 > 5 * -2 ?

    • @mr.salph9871
      @mr.salph9871 Рік тому +1

      Yes,
      it would be solved like this:
      3x-8>5*-2 = 3x-8>-10
      3x-8+8 > -10+8 = 3x > -2
      x = -2/3

  • @switchedl4nes
    @switchedl4nes 3 роки тому +17

    The intro has me shook O_O

  • @rubinamujahidah1040
    @rubinamujahidah1040 Рік тому

    *Just one question*
    Why are we taking (-10) why can't we take positive no. Instead 🤔
    In .... *-x > 6* & *x < -6*

    • @brandish_0003
      @brandish_0003 Рік тому

      because it isn't correct, put the number in and see the result

  • @dontstealmydiamondsv3156
    @dontstealmydiamondsv3156 3 роки тому +19

    It certainly is very easy to make mistakes. Practice makes perfect I suppose.

    • @justbbricks
      @justbbricks 3 роки тому +1

      Maybe you just can’t do it

    • @itszyzzbrah4469
      @itszyzzbrah4469 3 роки тому +18

      @@justbbricks nah, its all about practice and basic understanding..

  • @davidbalta6973
    @davidbalta6973 4 роки тому +2

    Nice

  • @pista69420
    @pista69420 Місяць тому

    the question 3-x > 17
    can also be answered as -x > -14

    • @ultranoob9591
      @ultranoob9591 11 днів тому

      No it can only be answered in 2 ways one is x14 😊

  • @SCRKT007
    @SCRKT007 Рік тому +1

    3x + 2 < 20
    3x + 2 - 2 < 20 -2
    3x < 18
    3x/3 < 18/3
    x > 6, shouldn't the symbol be "greater than" because we flip it from doing a division?

    • @tanishkasahoopatia2923
      @tanishkasahoopatia2923 Рік тому +6

      No, sign won't be flipped as it is a positive number not a negative number. Remember that " sign gets flipped only when negative number is mulplying or dividing"

  • @user-em5jw2sg8l
    @user-em5jw2sg8l 6 місяців тому

    I am not getting your last videos

  • @fof3904
    @fof3904 3 роки тому +3

    Sir is it allowed to move numbers and variables from left side to the right side in this lesson?

    • @lanzibangli1259
      @lanzibangli1259 3 роки тому +9

      yes. but if you do that, flip the signs:
      a > b
      is the same thing as
      b < a
      notice that the sign is flipped.
      examples:
      x < 5
      Also means
      5 > x
      9 > 3
      Also means
      3 < 9

    • @Belmont1714
      @Belmont1714 5 місяців тому

      ​@@lanzibangli1259I couldn't get the third one, can you help?

  • @tzaaaltee
    @tzaaaltee 2 роки тому +1

    Someone explain the last equation

    • @a.v.w.6453
      @a.v.w.6453 2 роки тому +2

      If 2X + 9 is less than 4X + 3 , then naturally 4X + 3 is greater than 2X + 9.
      4X + 3 > 2X + 9 is just a different way to express X + X + X + X + 3 > X + X + 9. We can isolate the 9 by subtracting 2X from both sides. This leaves us with 2X + 3 > 9.
      The next step is to cancel out the 3 by subtracting it from both sides. Now we have 2X > 6.
      Dividing 2X by 2 gives us X, and dividing 6 by 2 gives us 3.
      In conclusion, X > 3.

  • @happyjohn1656
    @happyjohn1656 2 роки тому +2

    Embarrassed coming here as a college student
    3:54 AM (yep!)
    3/29/2022

  • @durveshsonar7846
    @durveshsonar7846 Рік тому

    Can someone explain 2x +9 < 4x +3
    Why sign changed

  • @Lord_Marquaad
    @Lord_Marquaad Рік тому +1

    Letters are math too, Letters have rights, Letters life matters!

  • @hughjanuz4343
    @hughjanuz4343 Рік тому

    got confused why their sign is flipped when the value of x, is just x in comprehension. what did I miss?

    • @carl8790
      @carl8790 Рік тому +1

      When a variable is negative (-x), you'll have to multiple or divide by -1 to get x. When multiplying or dividing negative variables, the sign must be flipped.

  • @ericnlopezpagan2699
    @ericnlopezpagan2699 2 роки тому +1

    Im a bit confused by the last one. I got it right but re-doing the math to add a value to x>3 the whole thing just fails...
    Please correct what im doing wrong.
    x=2
    2(2)+9

    • @ratasan8928
      @ratasan8928 2 роки тому +2

      Hi Eric.
      The result says, but you use
      x>3 x=2
      That's the mistake, the solution requires it to be bigger than 3, and you're using 2.
      I speak Spanish as well, if you need more help, I can gladly help you in Spanish as well

    • @a.v.w.6453
      @a.v.w.6453 2 роки тому +4

      I know it's been several months but let me walk you through how I did it:
      If 2X + 9 is less than 4X + 3 , then naturally 4X + 3 is greater than 2X + 9.
      4X + 3 > 2X + 9 is just a different way to express X + X + X + X + 3 > X + X + 9. We can isolate the 9 by subtracting 2X from both sides. This leaves us with 2X + 3 > 9.
      The next step is to cancel out the 3 by subtracting it from both sides. Now we have 2X > 6.
      Dividing 2X by 2 gives us X, and dividing 6 by 2 gives us 3.
      In conclusion, X > 3.
      I hope this is helpful.

    • @tom.5033
      @tom.5033 Рік тому

      @@a.v.w.6453 thanks man, i really appreciate it.

    • @ispeakwhenimallowedto..3582
      @ispeakwhenimallowedto..3582 7 місяців тому

      @@a.v.w.6453 and why not let the 3 as it is and find negative value x -3...... without changing the row of values? i mean SHOULD BE LIKE this: 2x+9>3 why u write it reverse? 2x+3>9 changing the core comparison value...

    • @a.v.w.6453
      @a.v.w.6453 6 місяців тому

      @@ispeakwhenimallowedto..3582 Another way to get the answer is by subtracting 3 from both sides first, which leaves 2X+6

  • @mdf1259
    @mdf1259 3 роки тому +5

    2x+9

    • @arpittripathi9472
      @arpittripathi9472 3 роки тому +15

      Step 1: Subtract both side with 3.
      Step 2: Subtract both side with 2x.
      Step 3: Divide both side with 2 and you will get 33(unnecessary step).

    • @TheSnowyOwl-zg2ck
      @TheSnowyOwl-zg2ck 3 роки тому

      ​@@arpittripathi9472 So, since it is an unnecessary step, why is it there?

    • @lanzibangli1259
      @lanzibangli1259 3 роки тому +7

      @@TheSnowyOwl-zg2ck
      a > b
      Also means
      b < a
      3 > 2 means
      2 < 3
      Usually it doesn't matter, but it's easier to read if the variable is on the left side.
      So if you get
      3 < x
      you can just say
      x > 3.
      3 is smaller than x
      x is bigger than 3
      All means the same thing.
      Also, notice how equalities don't have this issue:
      a = b means b = a
      the sign is symmetrical.

    • @UseHerName000
      @UseHerName000 2 роки тому +1

      @@arpittripathi9472 tysm

  • @pobletekinze6537
    @pobletekinze6537 2 місяці тому

    x-4>3
    x>7
    3x+2

  • @sauravjagtap7105
    @sauravjagtap7105 6 років тому +7

    Sir please explain Transistor and how it work

  • @droidgamer4049
    @droidgamer4049 3 роки тому +2

    I love the video it's helping me

  • @Wildasf1
    @Wildasf1 17 днів тому

    Guys can we create a group chat for math and share exercises with each other

    • @twrxzq
      @twrxzq 9 днів тому

      exactly!! 😭 coz i need more equations that i could practice on T-T for the first time in my life, i find mathematics fun.🤞🏻

    • @twrxzq
      @twrxzq 9 днів тому

      if u made one, pls tell me🙏🏻

  • @rubinamujahidah1040
    @rubinamujahidah1040 Рік тому

    *I wish you were my teacher* 🥰
    😭 😭 😭 😭

  • @jaihindsharma7134
    @jaihindsharma7134 7 днів тому +1

    😊😊😊😊😊😊

  • @LC-yv9ey
    @LC-yv9ey Рік тому

    x > 7 x < 6
    x < -14

  • @justbbricks
    @justbbricks 3 роки тому

    my dude are you alright

  • @Angel-fz2kz
    @Angel-fz2kz 3 роки тому

    yurr

  • @pingu7075
    @pingu7075 4 місяці тому

    "x < -14"??? That makes no sense. If x=5 then 5 < -14???

  • @TANGUANXU
    @TANGUANXU 3 роки тому +5

    he looks kinda like jesus

  • @mias1240
    @mias1240 Рік тому

    you just confused me lol

  • @zeenokbeenok
    @zeenokbeenok 3 роки тому

    lmao

  • @Michelle-ob2un
    @Michelle-ob2un 3 роки тому +2

    Speak slower next time please

  • @LoveTheUmmah822
    @LoveTheUmmah822 3 роки тому +1

    TOO FAST LMAAO CALM DOWN