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need some explanation - Inequalities

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gmatwarroom Just gettin' started! Default Avatar
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need some explanation - Inequalities Post Sat Jun 23, 2012 3:07 pm
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  • Lap #[LAPCOUNT] ([LAPTIME])
    Hi folks,

    this ques is from OG 12th edition, Q# 130.
    I cannot draw line here but it has a number line highlighted from -5 to +3 and ques is: which of the following is an algebraic equation of that:

    I chose answer B) |x| <=5
    answer that OG gave, E) |x+1| <=4

    my reasoning is --> x ranges from -5 to +3, that means, mode of x would always be <=5 , for example if it take -5 then mode is = 5, if it takes +3, mode is <5

    what am i missing?

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    jcnasia Just gettin' started!
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    Post Sat Jun 23, 2012 6:06 pm
    The question wants you to find the equation that fits the line exactly.
    Answer (b) doesn't fit it exactly, because I can find an x value that doesn't fall on the highlighted number line.

    For example, x = 4.
    |4| <= 5 but 4 is not between -5 and +3.

    Answer (e) is correct.
    |x+1| <= 4
    --> x+1 <= 4 and x+1 >= -4
    --> x <= 3 and x >= -5

    Thanked by: gmatwarroom

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