Given that $|c| < 5$ and $d = 2c + 1$ , which of the following statements must hold true?

Correct answer marked below

−1 ≤ d < 11

d ≠ −1

d < 0

c < d

−9 < d < 11

Correct

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

Comments

LamanJan 21, 2025

thanks for the answer

HarshJul 31, 2024

thanks a lot

SwaminathaJun 2, 2024

thanks for posting

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.