Question

Solve the inequality -24 _< x - 3 - 8x

A. x _> 3
B. x _< 3
C. x _> -3
D. x _> -9

Answer 1

B. x <_3

Explanation:

-24 _< x - 3 - 8x

First, combine like terms

-24 _< -7x - 3

Get x on one side. Add 3 on both sides

-24 + 3 _< -7x

-21 _< -7x

Solve of x. Divide -7 on both sides.

NOTE* : When dividing a negative number, inequality sign flips.

-21/-7 _> x

3 _> x

x _< 3

Answer 2

The correct answer is (B) x ≤ 3

Explanation:

See the solution in the attached figure