What is the total of all possible integer values of q for which |8q + 40| reaches its minimum?

Answer Choices

Correct answer marked below

-15

-10

-9

-5

Correct

See the full step-by-step explanation

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

Track your performance and improve

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

Start for free Sign in

Explanation

Preview

Official Explanation

Official

To determine the total of integer values of q where |8q + 40| is minimized, we start with the fact that the absolute value of any number is always non-negative: |8q + 40| ≥ 0.…

Read the full explanation

Create free account Sign in

Comments

SHIVANKApr 4, 2025

thank you very much!

HarshitaJun 15, 2024

thanksss

What this question tests

What it tests

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

Common trap

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