Question

2.Solve the inequality for x. Show each step to the solution.12x > 3(5x – 2) – 15

Answer 1

we have the inequality

12x > 3(5x-2)-15

step 1

apply distributive property right side

12x > 15x-6-15

combine like terms right side

12x > 15x-21

step 2

Adds both sides 21

12x+21 > 15x-21+21

simplify

12x+21 > 15x

step 3

subtract 12x both sides

12x+21-12x > 15x-12x

21 > 3x

step 4

Divide by 3 both sides

21/3 > 3x/3

7 > x

Rewrite

x < 7