# How do you solve #abs(x-6)< -12#?

##### 2 Answers

There are no real solutions for the given relation.

#### Explanation:

The absolute value of anything is

Therefore, specifically

So

No solutions for

#### Explanation:

First of all there are some rules to be taken in mind while solving modulus inequalities.

One of the basic rules is that : If

This means simply that

This is because

For eg.

and

So even if

Now coming back to the question, we have :

That means

That means