Question

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

Answer 1

Split the expression into two halves of the "sandwich"

Therefore,
-3<x+5------(1) and,
x+5<7------(2)

Solve both halves separately
From (1):
x>-8

From (2):
x<2

Add somemore ham, mayonnaise, ketchup, bacon and lettuce then mash the two halves of the sandwich back together:

New sandwich:
-8<x<2

Tadah, Bon appetit.