Question

Solve the inequality and graph the solution.
c+2>
–
1
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:
\[
c + 2 - 2 > -1 - 2
\]
\[
c > -3
\]

This means that \( c \) can take any value greater than \(-3\).

Now, let's represent this on a number line:

1. **Endpoints**: The endpoint here is -3.
2. **Open vs. Closed Endpoint**: Since the inequality is \( c > -3 \) (not \( c \geq -3 \)), we will use an open circle at -3. This indicates that -3 is not included in the solution.
3. **Deleting the Middle of the Segment, Ray, or Line**: Since the solution is \( c > -3 \), we draw a ray starting from -3 (with an open circle) and extending to the right, indicating all values greater than -3.

### Summary
- The solution to the inequality \( c + 2 > -1 \) is \( c > -3 \).
- On the number line:
- Place an open circle at -3 to denote that it is not included.
- Shade the line to the right of -3 to indicate all values greater than -3.

### Graph
```
<---(---|------>
-3
```
Where:
- The open parenthesis indicates -3 is not included.
- The arrow indicates the values greater than -3.