We are given:
[tex]-14<-6x-2\leq22[/tex]
To simplify this inequality, we can add 2 to all three sides. When we do that, we are left with:
[tex]-12<-6x\leq24[/tex]
After we simplify that, we can divide all sides by -6. Here is what we get:
[tex]\frac{-12}{-6}<\frac{-6x}{-6}\leq\frac{24}{-6}[/tex]
When you simplify, your final answer will be:
[tex]2>x\geq-4[/tex]
