To solve the inequality \( v + 18 \leq 17 \), we can start by isolating \( v \).
- 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
- Endpoints: The endpoint is at \( v = -1 \).
- Closed or Open: Since the inequality is "less than or equal to" (≤), we will use a closed circle at \( -1 \).
- 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 \( v + 18 \leq 17 \).