# How do you solve and write the following in interval notation: #| 2x - 3 |<4#?

##### 1 Answer

The absolute value of a number depends on whether the number is positive, zero or negative. Then you have to take the given inequality into account.

#### Explanation:

There are then 3 cases to have a look at:

In this case

and the inequality is,

Thus, *at the same time* ,

Similarly, if

In this case

and the inequality is,

Then, *at the same time* ,

Finally, when

Summarising, ALL the elements