Solve the inequality and graph the solution.

Question

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 \( v + 18 \leq 17 \).