# How do you solve and write the following in interval notation: #-3<3-2x<= 11#?

##### 2 Answers

See a solution process below:

#### Explanation:

First, subtract

Next, divide each segment by

Or

Or, in interval notation:

#### Explanation:

First we solve the inequality, then we put it into the notation we’d like.

−3 < 3 − 2x ≤ 11 Subtract the 3, divide by the -2 ( *reverses* the direction of the inequality)

CHECK!:

In interval notation our result is written with an open bracket on the left, and a closed bracket on the right.