What is the number of integer values of p that satisfy the inequality |p - 5| < 5/2?

Answer Choices

Correct answer marked below

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 solve the inequality |p - 5| < 5/2, we can break it down into two separate inequalities: -5/2 < p - 5 < 5/2. Adding 5 to all parts gives us: 5 - 5/2 < p < 5 + 5/2,…

Read the full explanation

Create free account Sign in

Comments

NikhilJan 10, 2025

thanks for the answer

SKYcry321Feb 9, 2025

can you explain more?

TanujJan 4, 2024

Can someone explain it other way?

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.