Question

Solve the following compound inequality 7<-x + 6 < 12.

Answer 1

[tex]\begin{gathered} 7<-x+6<12 \\ \text{Subtract 6 from all sides:} \\ 7-6<-x+6-6<12-6 \\ 1<-x<6 \\ \text{Multiply all sides by -1:} \\ -1>x>-6 \\ or \\ -6Therefore the solutions are:

(-5, -2)

or:

x=-5

x=-4

x=-3

x=-2