Question

Solve the inequality and graph the solution.
2v≤6
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 \(2v \leq 6\), we start by isolating \(v\).

1. Divide both sides of the inequality by 2:
\[
v \leq \frac{6}{2}
\]
\[
v \leq 3
\]

Now that we have the solution, \(v \leq 3\), we will graph it.

### Step 1: Identify the endpoints
- The endpoint is \(v = 3\).

### Step 2: Determine whether to use a closed or open dot
Since the inequality is less than or equal to (≤), we will use a closed dot at \(v = 3\) to indicate that this value is included in the solution.

### Step 3: Graph the line
- Draw a number line.
- Place a closed dot at \(3\).
- Shade to the left of \(3\) to indicate that all values less than \(3\) are included in the solution.

### Summary
The solution to the inequality \(2v \leq 6\) is \(v \leq 3\). The graph will have a closed dot at \(3\) and everything to the left of \(3\) shaded, representing all numbers less than or equal to \(3\).

Here’s a description of how to visualize it:

```
<---o===========================>
0 1 2 3 4 5
```
The "o" is a closed dot at \(3\) and the "=" represents the shaded area (all values less than or equal to \(3\)).