# How do you solve and write the following in interval notation: #|6t-6|<6#?

##### 1 Answer

See full solution process below

#### Explanation:

Because this is a problem contain the absolute value function we must solve the problem for both the negative and positive forms of the problem or in this case +6 and -6.

Also, because it is an inequality we must solve it as a system of inequalities as shown below.

We can rewrite this problem as:

We can now solve while ensuring we perform all operations to each portion of the system of inequalities.

First we will add

Next we will divide each portion of the system by

Writing this solution in interval form gives:

(0, 2)