Question

Solve the inequality and graph the solution.
20>5c
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( 20 > 5c \), we start by isolating \( c \).

1. Divide both sides by 5:
\[
\frac{20}{5} > c
\]
This simplifies to:
\[
4 > c
\]
or
\[
c < 4
\]

The solution to the inequality is \( c < 4 \).

### Graphing the Solution

1. **Endpoints**: The endpoint is 4.
2. **Type of Endpoint**: Since \( c < 4 \) does not include 4, we make it an open endpoint (represented as an empty circle).
3. **Direction**: The solution includes all values less than 4, which means we will shade to the left.

### Graph Representation

- Draw a number line.
- Place an open circle at 4 (indicating that 4 is not included).
- Shade everything to the left of 4.

Here’s a visual representation of the graph:

```
-----|-----|-----|-----|-----|-----|-----|-----|-----|----->
-2 -1 0 1 2 3 (4) 5 6
o
<--------------------------
```

In this graph:
- The open circle at 4 denotes that it is not part of the solution set.
- The shaded area to the left indicates all values of \( c \) that satisfy the inequality \( c < 4 \).