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Math Help - Wording of a question: Inequalities

  1. #1
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    Wording of a question: Inequalities

    Hi All,

    I have an issue with a wording of a question: It says 2 parts:
    a) Sketch the graph of y = |2x-1|

    This is easy enough but the next part:

    b) solve the inequality |2x-1| <= 2 and check your result by examining the graph of y = |2x-1|

    I think this means all the real numbers between -1 and 3 but if that is the case, how do you right this as an answer? Number line or descriptive as I just said.

    Also am I on the right track?

    Thank again for your help guys.

    Cheers,

    J
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Detroit, MI
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    Quote Originally Posted by perjac View Post
    Hi All,

    I have an issue with a wording of a question: It says 2 parts:
    a) Sketch the graph of y = |2x-1|

    This is easy enough but the next part:

    b) solve the inequality |2x-1| <= 2 and check your result by examining the graph of y = |2x-1|

    I think this means all the real numbers between -1 and 3 but if that is the case, how do you right this as an answer? Number line or descriptive as I just said.

    Also am I on the right track?

    Thank again for your help guys.

    Cheers,

    J
    Note that |2x-1|\leq2 implies that -2\leq2x-1\leq2

    And, this in turn implies that

    -\frac{1}{2}\leq{x}\leq\frac{3}{2}
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