Identify which of the following expressions r… | GMAT Sprint

Free Practice Question

PS · Problem Solving

505-555

Absolute Values/Modules

Identify which of the following expressions represents the range $1 < x < 3$ .

Correct answer marked below

x=2

|x|<2

|x|<3

|x-2|<1

Correct

|x-2|<2

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Explanation

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Official Explanation

Official

To solve for

|x-2|<1

: 1. From

x-2 < 1

, we get

x < 3

. 2. From

-(x-2) < 1

, we have

-x + 2 < 1

, which simplifies to [m]-x <…

Comments

SubhamJan 26, 2024

thanks for the answer

AndrewMar 20, 2024

thanks for the answer

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.