Answer:
[tex]-3<x<4[/tex]
Step-by-step explanation:
[tex]-2<2x+4<12[/tex]
We want to isolate [tex]x[/tex].
Subtract 4 from all sides:
[tex]-2-4<2x+4-4<12-4[/tex]
[tex]-6<2x<8[/tex]
Divide all sides by 2:
[tex]\frac{-6}{2} <\frac{2x}{2} <\frac{8}{2}[/tex]
[tex]-3<x<4[/tex]
Hope this helped.