Question

Solve. 5 < x – 2 < 11

Answer 1

add 2 to the ends to get the values for what x needs to be between in.

Answer 2

5<x-2<11

Add 2 to each section of the interval inequality because it does not contain the variable we are trying to solve for.
5+2<x<11+2

Add 2 to 5 to get 7.
7<x<11+2

Add 2 to 11 to get 13.
7<x<13

Convert the solution to set notation.
(7,13)

Answer 3

just add +2 to all sides and you'll get:

\[\LARGE 5+2 < x \;\;\;\;\;\;\underbrace{– 2+2}_{\text{This is 0}} < 11+2\]