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Thread: Inequality

  1. #1
    Senior Member harpazo's Avatar
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    Inequality

    If b < 2 and 2x - 3b = 0, which of the following must be true?

    A. x > - 3
    B. x < 2
    C. x = 3
    D. x < 3
    E. x > 3

    2x - 3b = 0

    -3b = -2x

    b = -2x/-3

    b = 2x/3

    I know that b < 2, as stated.

    So, (2x/3) < 2.

    3[(2x/3)] < 2 3

    2x < 6

    x < 6/3

    x < 3

    I say the answer is D.
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  2. #2
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    Re: Inequality

    Quote Originally Posted by harpazo View Post

    2x < 6

    x < 6/3 $\displaystyle \ \ \ \ \ \ $ <--------- You made an accident here. You meant to show a denominator of 2.

    x < 3

    I say the answer is D.
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  3. #3
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    Re: Inequality

    Your conclusion is correct.
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  4. #4
    Senior Member harpazo's Avatar
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    Re: Inequality

    Quote Originally Posted by greg1313 View Post
    .
    Yes, I made a typo. I meant to type x < 6/2, which is x < 3.
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