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Thread: Value of xy

  1. #1
    Senior Member harpazo's Avatar
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    Value of xy

    If 0 is less than or equal to x which is less than or equal to 4 and y < 12, which of the following CANNOT be the value of x•y?

    A. -2
    B. 0
    C. 6
    D. 24
    E. 48

    I do not understand the logic here.
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  2. #2
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    Re: Value of xy

    Quote Originally Posted by harpazo View Post
    If 0 is less than or equal to x which is less than or equal to 4 and y < 12, which of the following CANNOT be the value of xy?

    A. -2
    B. 0
    C. 6
    D. 24
    E. 48

    I do not understand the logic here.
    How large can $4y$ be?
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  3. #3
    Senior Member harpazo's Avatar
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    Re: Value of xy

    Quote Originally Posted by Plato View Post
    How large can $4y$ be?
    I don't get it.
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    Re: Value of xy

    Quote Originally Posted by Plato View Post
    How large can $4y$ be?
    Quote Originally Posted by harpazo View Post
    I don't get it.
    If you truly don't get this, then you have not gotten anything in this whole set of questions.
    You need to hire a private tutor, someone who can take the time to sit down with you.
    I see on other way to address your profound lack of mathematical understanding.
    Now it may simply be you unwillingness to exert any effort. But in any case, I see no way we can help you.
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  5. #5
    Senior Member harpazo's Avatar
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    Re: Value of xy

    Quote Originally Posted by Plato View Post
    If you truly don't get this, then you have not gotten anything in this whole set of questions.
    You need to hire a private tutor, someone who can take the time to sit down with you.
    I see on other way to address your profound lack of mathematical understanding.
    Now it may simply be you unwillingness to exert any effort. But in any case, I see no way we can help you.
    Thank you for the negativity.
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  6. #6
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    Re: Value of xy

    Negativity it's NOT, truth it IS...
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  7. #7
    Senior Member harpazo's Avatar
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    Re: Value of xy

    If 0 <= x <= 4 and y < 12...

    I understand that xy CANNOT be 48 because that requires either 6 * 8, and both numbers exceed the permissible x interval; or 4 * 12, which in the best case scenario, is no good because this means 12 < 12, a false statement, although 4 <= 4 is true. So, my answer is E. Correct?
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    Re: Value of xy

    Quote Originally Posted by harpazo View Post
    If 0 <= x <= 4 and y < 12...

    I understand that xy CANNOT be 48 because that requires either 6 * 8, and both numbers exceed the permissible x interval; or 4 * 12, which in the best case scenario, is no good because this means 12 < 12, a false statement, although 4 <= 4 is true. So, my answer is E. Correct?
    Yes E is the correct answer.

    Since 0<x<4 and y<12, then x*y can't be 48 or larger.

    Just to check the other options:

    A. -2 = 2*-1 ... all good

    B. 0 = 3*0 … all good

    C. 6 = 2*3 .. all good

    D. 24 = 3*8 … all good

    (there are other combos that also work)
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  9. #9
    Senior Member harpazo's Avatar
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    Re: Value of xy

    Quote Originally Posted by Debsta View Post
    Yes E is the correct answer.

    Since 0<x<4 and y<12, then x*y can't be 48 or larger.

    Just to check the other options:

    A. -2 = 2*-1 ... all good

    B. 0 = 3*0 … all good

    C. 6 = 2*3 .. all good

    D. 24 = 3*8 … all good

    (there are other combos that also work)
    Thank you. I will not post daily questions anymore. I realize now that this site is not a tutoring school. I will use the site from time to time as truly needed.
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