Question

Solve the inequality and graph the solution.
–
2<c+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 \( -2 < c + 2 \), we will first isolate \( c \).

1. Subtract 2 from both sides:
\[
-2 - 2 < c
\]
\[
-4 < c
\]
This can also be written as:
\[
c > -4
\]

Now we can denote the solution set:
- The solution includes all values of \( c \) that are greater than -4.

### Graphing the Solution
1. **Endpoint:** The endpoint is at \( -4 \).
2. **Type of Endpoint:** Since the inequality is strictly greater than \( -4 \) (not inclusive), we will represent -4 as an open dot (not included).
3. **Direction of the Ray:** Since \( c \) can take on any value greater than -4, we draw an arrow to the right (indicating all values greater than -4).

### Final Graph Representation
- Open circle (or dot) at \( -4 \) to indicate it is not included.
- Arrow extending to the right from \( -4 \).

So, in summary, the graph would look like:

```
<---( -4 )-------------------->
```

This indicates that all values greater than \( -4 \) are included in the solution set.