# How do you graph the inequality #|4 – v| <5#?

##### 1 Answer

Interval fro -1 to 9 represents this inequality.

See explanation below.

#### Explanation:

First, draw a graph of

Then draw a horizontal line

All intervals of

The graph of

1. Start with

graph{x [-10, 10, -5, 5]}

2. Change it to

graph{-x [-10, 10, -5, 5]}

3. Shift it up by 4 units to get

graph{4-x [-10, 10, -5, 5]}

4. All parts of graph that lie below X-axis symmetrically reflect to the other side of X-axis to get

graph{|4-x| [-10, 10, -5, 5]}

As seen from the graph,