Question

What value of x is in the solution set of 9(2x + 1) < 9x – 18?

–4
–3
–2
–1

Answer 1

-4

Explanation:

`9(2x+1)<9x-18\qquad\text{divide both sides by 9}\\\\2x+1<x-2\qquad\text{subtract 1 from both sides}\\\\2x<x-3\qquad\text{subtract}\ x\ \text{from both sides}\\\\x<-3\\\\-4<-3`