# How do you solve and write the following in interval notation: #-5<5+2x<11#?

##### 2 Answers

#### Explanation:

You can add/subtract both sides of an inequality without changing the orientation of the inequality;

you can also multiply or divide both (all) sides of an inequality by a value greater than zero without changing the orientation of the inequality..

Given: #-5 < 5 +2x <11

subtract

#5# from each "side

#-10 < 2x < 6# divide each "side" by

#2#

#-5 < x < 3#

#### Explanation:

Break the question into two inequalities and solve each separately.

LHS: keep x term on the right but on the RHS keep x term on left

But the x terms are the same term, so the two parts can be combined: