# How do you graph and solve # |3-2x|>7#?

##### 1 Answer

**Solution: **

**Using Interval Notation: **

#### Explanation:

**Given the Inequity Expression:**

We must remember that,

Hence,

we **consider two possibilities** as shown below:

First, we will consider

Subtract 3 from both sides

Simplify to get

Multiply both the sides by

We must **remember to reverse the inequality**

Simplify to get

Divide both sides by the value of

**Intermediate Result 1**

Next, we will consider

Subtract the value of 3 from both sides

Multiply both the sides by

We must **remember to reverse the inequality**

Divide both sides by the value of 2

**Intermediate Result 2**

Let us now combine both the **intermediate results (1) & (2)** to get

Using the **Interval Notation** we can can also write the solution as

Please refer to the **inequality graph** below which demonstrates our solution: