Given the inequality $5|x + 3| – 8 < 27$ , which of the following represents all possible values of x?

Correct answer marked below

–10 < x < 4

Correct

–10 < x < 10

–2 < x < 2

–2 < x < 10

2 < x < 10

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official Explanation

Official

To solve the inequality

5|x + 3| – 8 < 27

, we first add 8 to both sides, resulting in

5|x + 3| < 35

. Next, we divide both sides by 5, yielding

|x + 3| < 7

. This…

Comments

PuruFeb 13, 2025

appreciated!

AnupamaJan 28, 2024

thanks

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.