Question

Solve the inequality:

3x-3<9

5x+2<32

Answer 1

x < 4

x < 6

Explanation:

`3x-3<9\qquad\text{add 3 to both sides}\\3x-3+3<9+3\\3x<12\qquad\text{divide both sides by 3}\\(3x)/(3)<(12)/(3)\\\boxed{x<4}\\\\============================\\\\5x+2<32\qquad\text{subtract 2 from both sides}\\5x+2-2<32-2\\5x<30\qquad\text{divide both sides by 5}\\(5x)/(5)<(30)/(5)\\\boxed{x<6}`