Question

Solve the inequality and graph the solution.
v+18≤17
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 \( v + 18 \leq 17 \), we can start by isolating \( v \).

1. Subtract 18 from both sides:
\[
v + 18 - 18 \leq 17 - 18
\]
\[
v \leq -1
\]

So the solution to the inequality is \( v \leq -1 \).

### Graphing the Solution

1. **Endpoints**: The endpoint is at \( v = -1 \).
2. **Closed or Open**: Since the inequality is "less than or equal to" (≤), we will use a closed circle at \( -1 \).
3. **Middle of the Segment**: Since the solution goes to negative infinity, we consider the whole ray to the left from the closed circle at \( -1 \).

### Graph Representation:
- The closed circle at \( -1 \).
- A solid line extending to the left from \( -1 \) to negative infinity.

### Final Graph:
\[
\text{Graph/Plot: }
\]

- Mark a closed dot at -1 (indicating it is included in the solution).
- Shade the line to the left of -1, indicating that all values less than or equal to -1 are part of the solution.

This completes the solution and the graphical representation of the inequality \( v + 18 \leq 17 \).