What are the solutions of the inequality? 12x - 3x + 11 > 4x - (17 - 9x) a. x > - 7 b. x > - 1411 c. x < - 1411 d. x < 7

Answer: option d. x < 7

Explanation:

1) given: 12x - 3x + 11 > 4x - (17 - 9x)

2) expand the parenthesis: 12x - 3x + 11 > 4x - 17 + 9x

3) combine like terms on each side: 9x + 11 > 13x - 17

4) subtract 9x and add 17 to both sides:9x - 9x + 11 + 17 > 13x - 9x - 17 + 17

5) combine like terms: 28 > 4x

6) divide both sides by 4: 7 > x

That is x < 7 which is the option d.