Given the inequality |y- 34| < 94, which of the following values could represent y?

Given the inequality |y- 34| < 94, which of t… | GMAT Sprint

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PS · Problem Solving

sub-505

Absolute Values/Modules

Given the inequality $|y-\frac{3}{4}| < \frac{9}{4}$ , which of the following values could represent y?

Correct answer marked below

-9

-9/4

3/4

Correct

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Explanation

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Official

Starting with the inequality

|y-\frac{3}{4}| < \frac{9}{4}

, we can express it as

-\frac{9}{4}<y-\frac{3}{4}< \frac{9}{4}

. By adding

\frac{3}{4}

to each part of the inequality, we get…

Comments

HunterNov 1, 2024

Great explanation

AngelinaDec 8, 2024

Good question

What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.