Given that x, y, and z are positive integers with x > y > z, and the sum x + y + z is less than 30, what is the highest possible value for x?

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

Since x, y, and z are positive integers and must satisfy the condition x > y > z, we can maximize x by minimizing y and z. The smallest values for y and z that maintain…

Read the full explanation

Create free account Sign in

Comments

PratikJan 11, 2025

thankss

DianaAug 27, 2024

thanks for taking time to upload it!

NikhilMar 4, 2025

Thanks for sharingThank you for sharing!!thanks for sharing

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.