Question

Solve this inequality:

16x - 33x < -12x + 30

A. x < -6
B. x > 6
C. x > -6

Answer 1

x > -6.

Explanation:

16x - 33x < -12x + 30

Add 12x to both sides:

16x - 33x + 12x < 30

-17x + 12x < 30

-5x < 30

x > 30/-5

x > -6

(Note the inequality signs flips because we are dividing by negative 5).