# How do you solve and graph the compound inequality #4 < n + 6 < 9# ?

##### 1 Answer

See below.

#### Explanation:

Subtract 6 from each part of the inequality:

To graph:

Make two equations:

We have:

Equation

Graph these two lines. This we give you the boundary between included and excluded regions. Remember to use a dotted line as these are of the for < , > and not of the form

With these plotted, we have three regions **A** , **B** and **C**, we now test coordinates in each region to see which is an included or excluded region.

Region **A**:

coordinates:

**False**

**True**

Region **B**:

coordinates:

**True**

**True**

Region **C**

coordinates:

**False**

**True**

The only region where both conditions are met is region **B**. Shade region **B**