Answer: option d. x < 7
Step-by-step 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.