# How do you solve and write the following in interval notation: #|x - 4| <12#?

##### 1 Answer

Apr 3, 2017

#### Explanation:

We have to cosider

This is, because of the **Defn. of the Absolute Value Fun. :**

**Case (1) :**

**Case (2) :**

Here, since, "|x-4|=-(x-4)=4-x, so, |x-4| < 12 rArr 4-x <12.#

Combining

This is written, in the **Interval Notation,** as

A very quick **Soln.** can easily be obtained, if we use the

**Result :**

**Enjoy Mths.!**