Question

How do you go about solving when an expression is "sandwiched" between two inequalities, such as -3 < x + 5 < 7? (Site 1)

Answer 1

this is the same as system of inequalities
x+5>-3
x+5<7

Answer 2

You can set up a system of inequalities, OR you can simply subtract 5 from each side to isolate x:

-3 - 5 < x < 7 - 5

Which simplifies to:
-8 < x < 2