Question

Solve the inequality for x.

–2x – 3 > 13


A)
x < –5


B)
x < –8


C)
x > –5


D)
x > –8

Answer 1

B

Explanation:

–2x – 3 > 13

-2x > 13 + 3

-2x > 16

-16 > 2x

Swap sides to make coefficient of x positive

-16 > 2x

-8 > x

Same as: x < -8

Answer 2

B) x < –8

Explanation:

–2x – 3 > 13

Add 3 to each side

–2x – 3+3 > 13+3

-2x > 16

Divide each side by -2, remembering to flip the inequality

-2x/-2 < 16/-2

x < -8