Question

-3+9x>87 or -x-9>-17​

Answer 1

`\large\boxed{x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)}`

Explanation:

`-3+9x>87\qquad\text{add 3 to both sides}\\\\9x>90\qquad\text{divide both sides by 9}\\\\\boxed{x>10}\to(1)\\\\-x-9>-17\qquad\text{add 9 to both sides}\\\\-x>-8\qquad\text{change the signs}\\\\\boxed{x<8}\to(2)\\\\\text{From (1) and (2) we have:}\\\\x>10\ or\ x<8\to x\in(-\infty,\ 8)\ \cup\ (10,\ \infty)`