Which of the following represents a simplification of the inequality 7 – 2x < 12 – 4(x + 1) ?

Answer Choices

Correct answer marked below

x < 1/2

Correct

x < 1

x < 3

x < 5

x > 5

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 7 – 2x < 12 – 4(x + 1), we first expand the right side: 7 – 2x < 12 – 4x - 4. This simplifies to 7 – 2x < 8 – 4x. Next, we add 4x to…

Read the full explanation

Create free account Sign in

Comments

PrathyooshFeb 24, 2024

can you explain more?

SujoyNov 6, 2024

thanks!

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.