To solve the inequality \(5s > 10\), we can start by isolating \(s\).
- 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:
- Identify the endpoint: The endpoint is at \(s = 2\).
- 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.
- 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.