# How do you solve and write the following in interval notation: #2 + | x/3 - 1 | > 6#?

##### 1 Answer

Apr 27, 2017

#### Explanation:

First, subtract two from both sides to get

The absolute value can be split into

Simplifying for the first equation we get the following

For the second equation

So all values less than -9 and greater than 15 satisfy the inequality. This can be written as

Open brackets are used since infinity is not included as a point and 9 and 15 do not satisfy the inequality.