Solve the inequality and graph the solution.

v
4
+70≥69
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

1 answer

To solve the inequality 4v + 70 ≥ 69, we first isolate the variable v by subtracting 70 from both sides of the inequality:

4v + 70 ≥ 69
4v ≥ 69 - 70
4v ≥ -1

Next, we divide both sides of the inequality by 4 to solve for v:

v ≥ -1/4

To graph the solution, we draw a number line and plot a closed dot at the value -1/4, indicating that -1/4 is included in the solution. Then, we draw an arrow to the right to represent all values of v greater than -1/4. This is because the inequality is "v ≥ -1/4", indicating that v can equal -1/4 and any value greater than that.

Here is the graph:

```
-----o--->
-1/4
```

The closed dot represents -1/4 and the arrow indicates that the values of v are greater than -1/4.