Question

Solve the inequality for x.

–3x – 6 < 15

A) x < –3
Eliminate
B) x < –7
C) x > –3
D) x > –7

Answer 1

D) x > –7

Explanation:

–3x – 6 < 15

Add 6 to each side

–3x – 6+6 < 15+6

-3x < 21

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 21/-3

x >-7

Answer 2

Option D, x > -7

Explanation:

Step 1: Add 6 to both sides

-3x - 6 + 6 < 15 + 6

-3x < 21

Step 2: Divide both sides by -3

-3x / -3 < 21 / -3

Since you divided by a negative, you need to flip the sign

x > -7

Answer: Option D, x > -7