Question

Which of the following is the solution to the inequality below? 6 - 2x > -18

Answer 1

`\large\boxed{x<12\to x\in(-\infty,\ 12)}`

Explanation:

`6-2x>-18\qquad\text{subtract 6 from both sides}\\\\6-6-2x>-18-6\\\\-2x>-24\qquad\text{change the signs}\\\\2x<24\qquad\text{divide both sides by 2}\\\\(2x)/(2)<(24)/(2)\\\\x<12`