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|y - 1/2| < 11/2

This topic has 2 expert replies and 0 member replies
boomgoesthegmat Senior | Next Rank: 100 Posts Default Avatar
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|y - 1/2| < 11/2

Post Thu Apr 28, 2016 1:30 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    If |y - 1/2| < 11/2, which of the following could be a value of y?

    A) -11

    B) -11/2

    C) 11/2

    D) 11

    E) 22

    C

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    Post Thu Apr 28, 2016 2:13 pm
    If y is positive, we'd have

    y - 1/2 < 11/2

    y < 11/2 + 1/2

    y < 6

    So our solution set is

    0 < y < 6

    11/2 => 5.5 falls in that range, so C works.

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    Post Thu Apr 28, 2016 6:46 pm
    Hi boomgoesthegmat,

    This question asks us to solve for what COULD be the value of the one variable in the prompt. Since the answer choices are numbers, we can BRUTE FORCE a solution relatively easy - just plug in the answers until you find the one that 'fits' the inequality.

    We're looking for a value that is LESS than 11/2 (or 5.5):

    Answer A: -11
    |-11 - 1/2| = |-11.5| = 11.5
    NOT less than 5.5

    Answer B: -11/2
    |-11/2 - 1/2| = |-12/2| = 6
    NOT less than 5.5

    Answer C: 11/2
    |11/2 - 1/2| = |10/2| = 5
    This IS less than 5.5, so this MUST be the answer.

    Final Answer: C

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