# How do you solve and write the following in interval notation: #|-4x| + |-5| <=9#?

##### 1 Answer

May 9, 2017

Solve for

#### Explanation:

Since constants can be taken out of absolute values are their positive values when alone or when multiplied with a variable (but not when adding/subtracting), we can rewrite the inequality as:

Now we solve for

We can remove the absolute value by recognizing that

In interval notation, parentheses are used for greater than (>), less than (<), and infinity (both

Therefore,