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|y - 1/2| < 11/2

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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
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 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

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

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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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