# What is the solution to the inequality #absx≤7#?

##### 1 Answer

Sep 1, 2015

#### Explanation:

There are two possibilities:

Either x is greater than 0, in which case

Or, x is less than 0, in which case

So, x has to be less than or equal to 7, and x has to be greater than -7. So, the solution set will be "from -7 to 7, inclusive". This can be written like this: