Question

Solve the inequality and graph the solution.
5(w+10)>10
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 \( 5(w+10) > 10 \), we will first simplify it step by step:

1. Distribute the \( 5 \):
\[
5w + 50 > 10
\]

2. Subtract \( 50 \) from both sides:
\[
5w > 10 - 50
\]
\[
5w > -40
\]

3. Divide both sides by \( 5 \):
\[
w > -8
\]

The solution to the inequality is \( w > -8 \).

### Graphing the Solution
On a number line:

- You will plot the point \( -8 \).
- Since the inequality is \( w > -8 \), this point will be represented as an open circle (indicating that \( -8 \) is not included in the solution).
- The solution extends to the right, indicating all values greater than \( -8 \).

### Graph Representation
```
<---|---|---|---|---|---|---|---|---|---|---|--->
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0
(----------------->
```

In this graph:
- The point \( -8 \) is an open circle, representing that it is not included in the solution.
- The line extends to the right from \( -8 \) indicating that all values greater than \( -8 \) are included in the solution.