Question

Solve the inequality and graph the solution.
5s>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 \(5s > 10\), we can start by isolating \(s\).

1. Divide both sides of the inequality by 5:
\[
s > \frac{10}{5}
\]
\[
s > 2
\]

This tells us that \(s\) can take any value greater than 2.

### Graphing the Solution:

1. **Identify the endpoint**: The endpoint is at \(s = 2\).
2. **Change the endpoint from closed to open**: Since this is a "greater than" inequality, we will use an open circle at \(s = 2\) to indicate that 2 itself is not included in the solution.
3. **Delete the middle of the segment**: The solution is represented on the graph as a ray extending to the right from \(s = 2\).

### Final Representation:
- Open circle at \(s = 2\) (indicating \(2\) is **not** included).
- A solid ray extending to the right (indicating all values greater than \(2\) are included).

Here’s how it looks mathematically and visually:

- Number line representation:
- Open circle at \(2\)
- Ray starting from the point \(2\) and extending to the right towards positive infinity.

Therefore, the solution is \(s > 2\), and its graphical representation is shown as described above.