Question

Solve the inequality and graph the solution.
1>
c+2
–
2
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 \( c + 2 > 1 \), we first isolate \( c \).

1. Subtract 2 from both sides:

\[
c + 2 - 2 > 1 - 2
\]

This simplifies to:

\[
c > -1
\]

### Graphing the Solution

The solution \( c > -1 \) is represented on a number line. Here’s how we can graph this solution:

1. **Endpoints:** The endpoint is -1.
2. **Closed/Open Endpoint:** Since the inequality is strictly greater than (>), we use an open circle at -1 to indicate that -1 is not included in the solution set.
3. **Direction:** Shade to the right of -1 to indicate all values greater than -1.

### Visual Representation

```
Number Line:
<---|----|------|------|----|----|--->
-3 -2 -1 0 1 2
(------->)
```
- The open circle at -1 indicates it's not included in the solution.
- The shaded area to the right of -1 indicates all values \( c > -1 \).

### Summary of Steps
- Isolate \(c\).
- Identify the type of endpoint (open).
- Shade the appropriate direction on the graph.