# How do you solve and write the following in interval notation: #-3 ≤ (x − 4) / 2 <4#?

##### 2 Answers

Jul 14, 2016

#### Explanation:

When manipulating an inequality, we can treat it as a three part equation. Whenever we alter one part, we do the same to the other two. This allows us to manipulate the equation like so:

So the final answer is that

Jul 14, 2016

#### Explanation:

First, you can multiply all terms by 2:

and then you can add 4 to all terms: