Question

Solve the inequality below
-3(11 + 6x) < -42 - 9x

Answer 1

`x>1`

Explanation:

`-3(11 + 6x) < -42 - 9x`

Expand:

`-33-18x<-42-9x`

Add 33 to both sides:

`-33-18x+33<-42-9x+33`

`-18x<-9x-9`

Add 9x to both sides:

`-18x+9x<-9x-9+9x`

`-9x<-9`

Flip the signs (and the symbol)

`9x>9`

Divide both sides by 9:

`(9x)/(9)>(9)/(9)`

`x>1`