# How do you solve #4 - |3k+1| <2#?

##### 1 Answer

Apr 26, 2017

#### Answer:

#### Explanation:

To make the absolute positive multiply everything by (-1). Note that this turns the inequality sign round the other way. So now we have:

Add 4 to both sides

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

There are what I will call 'trigger' values that this condition relates to.

Lets determine these 'trigger' values.

Set

So the 'trigger' values are such that

so we have

and we have