# How do you solve and write the following in interval notation: # abs(x-5)<=7#?

##### 1 Answer

Jul 12, 2016

In the Interval Notation, we write this as,

#### Explanation:

Recall the Defn. of the Absolute Value of

So, we need to consider two cases

Case

Case

Combining these cases, we have,

In the Interval Notation, we write this as,