Solve the inequality and graph the solution.

Question

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.