Question

Solve -7 < x + 2 < 4.

Answer 1

You have to separate into 2 inequalities and solve
-7<x+2 and
x+2<4
For the first inequality if
-7<x+2 then -9<x
analogously for the second inequality if
x+2 < 4 then x<2 and then the solution set for the problem is
-9<x<2