Free GRE Prep Hour: Inequalities and Absolute Value

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  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 43

  • @aderoju6966
    @aderoju6966 ปีที่แล้ว

    This is nice answers how to know which is equal to which

  • @laurenemanzi2228
    @laurenemanzi2228 2 หลายเดือนก่อน

    Hi Cat! @20:00 , I feel like the answer is D, what if a is positive and c is positive?

  • @mayare1919
    @mayare1919 5 ปีที่แล้ว +10

    @42:00 if you solve by substituting negative x and positive x (2 possible scenarios with absolute values), one of your simplified answers (as the instructor realized when scribbling), is x squared is less than or equal to negative 4 (and the other solution is x squared is greater than or equal to 2). The GRE doesn't recognize the former equation though (the x squared is less than or equal to negative 4 one) b.c x squared can never be negative on the GRE. As a result, shouldnt the answer be D?

    • @mariamazeez7089
      @mariamazeez7089 5 ปีที่แล้ว

      Same thought i had!

    • @kumarneupane6699
      @kumarneupane6699 3 ปีที่แล้ว

      @Manhattan Prep GRE, I feel the same, Plz reply !!

    • @abhishekchavan1991
      @abhishekchavan1991 ปีที่แล้ว +1

      ​@@kumarneupane6699I am probably replying very late but the only answer to that is if we take any +ve value of X, then the first equation fails so we have no other option than taking X negative.

    • @kumarneupane6699
      @kumarneupane6699 ปีที่แล้ว +2

      I got reply today and I confused about what my original query was 😂. It’s been 2 years and I’m already doing PhD in US (2nd year) lol 😂😂

    • @abhishekchavan1991
      @abhishekchavan1991 ปีที่แล้ว

      @@kumarneupane6699 sorry man, came across this video today! I have my GRE on the 11th of this month. So was revising a few important concepts!

  • @hammedtukur
    @hammedtukur 4 ปีที่แล้ว +6

    But cant we have ac as -a and -c which will give a positive.

    • @adityarana6732
      @adityarana6732 3 ปีที่แล้ว

      yes, even i was like why she is not considering both negatives.

  • @roumanfirdous8707
    @roumanfirdous8707 2 ปีที่แล้ว +1

    the answer to 2nd question is D not B please correct it

  • @maryem8263
    @maryem8263 5 ปีที่แล้ว +9

    Chrissy knows it all

  • @ntamauwe5786
    @ntamauwe5786 ปีที่แล้ว

    i think that b must be greater than zero is correct

  • @Dana.38
    @Dana.38 3 ปีที่แล้ว +1

    In 40:35, are you sure that the answer is B and not D? She laterally said we know nothing about y and then chose B..... I am confused.....

    • @manhattanprepgre7390
      @manhattanprepgre7390  3 ปีที่แล้ว +5

      The right answer to the original question is (D). However, at that point in the lesson, Cat altered the problem so that it said "y is a positive integer," not just an integer. In that case, the givens would tell you something about y, and the answer would change to (B).

    • @roroh9818
      @roroh9818 ปีที่แล้ว

      @@manhattanprepgre7390 Thank you for your reply. It will be awesome if instructor can highlight the answer to 'original' question. I too was confused as to what the correct answer is for the original question.

  • @swarajkumardas2988
    @swarajkumardas2988 3 ปีที่แล้ว

    In QC questions are the statements interlinked or independent cuz in the 2nd QC question, there is a probability of a and c being positive. Which makes the answer D

    • @manhattanprepgre7390
      @manhattanprepgre7390  3 ปีที่แล้ว +1

      The statements are interlinked! So whatever a variable represents in one statement, it has to represent the same thing in the other statement.

    • @roumanfirdous8707
      @roumanfirdous8707 2 ปีที่แล้ว

      @@manhattanprepgre7390 even if u plug in numers it will still show D as answer, we dont even know if AB, so D is correct answer... try plugging in numbers still gives different answers so D

  • @dennisoseitutu1037
    @dennisoseitutu1037 2 ปีที่แล้ว

    Feeling sleepy tonight. I'll come back to watch

  • @rishabhpagaria5367
    @rishabhpagaria5367 ปีที่แล้ว

    @45:00 the answers is wrong it shouldn't be option B it should be D
    The math was a little wrong as we know x is -ve
    -X|X| >= 4
    putting the -ve value
    -X(-)|-X| >= 4
    X * X >= 4 (because |-X| = X)
    X^2 >= 4
    X >= 2 and X

    • @rishabhpagaria5367
      @rishabhpagaria5367 ปีที่แล้ว

      Correction : option B is the correct answer because we know x should be negative so X

  • @updownftw
    @updownftw 3 ปีที่แล้ว +1

    Thankyou for the video

  • @hopefullnes4557
    @hopefullnes4557 ปีที่แล้ว

    I got them all right!!

    • @angryprogrammer7788
      @angryprogrammer7788 ปีที่แล้ว +1

      Can you please recommend any sources for practice of these particular question types?

    • @hopefullnes4557
      @hopefullnes4557 ปีที่แล้ว

      @@angryprogrammer7788 manhattan series for maths. They are perfect for developing a good understanding

  • @chakshutyagi2066
    @chakshutyagi2066 3 ปีที่แล้ว

    Ma'am, there is 2 type of books of manhattan 5lb, one in green color cover and second in black cover. which one is better. And what to know before taking a book. please tell me.

    • @manhattanprepgre7390
      @manhattanprepgre7390  3 ปีที่แล้ว

      Hi there! You can see the most current edition of the book here: www.manhattanprep.com/gre/store/gre-strategy-guides/5-pound-book-gre-practice-problems

  • @mohammadabushaera1587
    @mohammadabushaera1587 4 ปีที่แล้ว +1

    Thanks for the helpful video, please accept my comment on the way you explained ab>0, bc

    • @samrat6546
      @samrat6546 4 ปีที่แล้ว

      good analogy

  • @hannahheintz800
    @hannahheintz800 3 ปีที่แล้ว

    For the problem around 42 minutes - once you establish that x is negative, why do you need to go on to solve the inequality? Won't you know that x is less than 2 by knowing that x is negative??

    • @manhattanprepgre7390
      @manhattanprepgre7390  3 ปีที่แล้ว

      Yes, that's totally true! Cat just wanted to solve it out all the way to demonstrate how the math worked. :)

  • @vipultyagi873
    @vipultyagi873 4 ปีที่แล้ว

    @45:19 how we can take the square root of a negative integer, it is not possible. Even if we take, we will get iota (I) with the integer 2 which is not in the syllabus of GRE. Please clarify if I am wrong.

    • @manhattanprepgre7390
      @manhattanprepgre7390  4 ปีที่แล้ว +3

      Hi! We checked with Cat on this and here's what she had to say: "Hi! So I think the way I notated/explained this wasn't as clear as it could be. You're correct that we can't take the square root of a negative integer. Here, though, because I'm working with absolute value, I'm using the squared notation just to think about what x could be in the upfront information (and in that case, x can equal a negative, since we aren't squaring x, but rather multiplying x by the absolute value of x, and then by negative 1.) Apologies that the way I explain that in the video led to confusion!"

  • @danieladegboyega2254
    @danieladegboyega2254 ปีที่แล้ว

    Great

  • @giljav
    @giljav 4 ปีที่แล้ว

    for the first problem, I chose a = -1 and b = -1 and the result gave me a positive number. I don't get why it could no be D or A
    on the second problem, I solved inequalities as follows:
    3x - 21 ≥ 9
    +21 +21
    3x≥30
    /3 /3
    x ≥ 10
    0.25y - 3 ≤ 1
    +3 +3
    0.25y ≤ 4
    /0.25 /0.25
    y ≤ 1
    Why is this is this 0.25y ≤ 4 multiplied by 4?

    • @ylimes
      @ylimes 4 ปีที่แล้ว +1

      For the equation 0.25y - 3 ≤ 1, your calculation is correct up until the end. 4/0.25= 16. So y ≤ 16

    • @natarajanparameswaran6752
      @natarajanparameswaran6752 3 ปีที่แล้ว +1

      4/.25 or 4/(25/100) or (4*100)/25 =16

  • @surajpatel1377
    @surajpatel1377 ปีที่แล้ว

    you are so cute, here. 🥰

  • @zahirulislam2030
    @zahirulislam2030 4 ปีที่แล้ว

    Meticulous lecture . Wearing glass you seem to be changed !

  • @doubleosevenstat7111
    @doubleosevenstat7111 3 ปีที่แล้ว

    You're really good and very pretty.