Question

Solve the inequality and graph the solution.
c
3
<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 \( c < 2 \), we need to determine the values of \( c \) that are less than 2.

### Step 1: Identify the solution
The inequality indicates that \( c \) can take any value that is less than 2.

### Step 2: Graph the solution
1. **Endpoint**: The endpoint here is \( c = 2 \).
2. **Type of endpoint**: Since the inequality is \( < \) (which does not include 2), the endpoint at 2 will be **open** (not included in the solution).
3. **Graphing**:
- Draw a number line.
- Place an open circle at 2 to indicate that 2 is not included in the solution.
- Shade to the left of the circle to indicate all values less than 2 are included in the solution.

### Resulting Graph
Here is a representation of the final graph:

```
<----o=======================>
0 1 2 3
```
Where:
- The "o" at 2 is an open circle, indicating that \( c \) does not include 2.
- The shading to the left indicates all values less than 2 are part of the solution.

### Summary
The solution to the inequality \( c < 2 \) is all real numbers less than 2, represented graphically with an open circle at 2 and shading to the left on a number line.