solve the inequality 2/3r <_ 5. which of the following graphs shows the solution?

Answer 1

The inequality 2/3r ≤ 5 can be solved by multiplying both sides of the inequality by 3 to get rid of the denominator:

3 * (2/3) * r ≤ 3 * 5

2r ≤ 15

To solve for r, divide both sides of the inequality by 2:

r ≤ 15/2 or r ≤ 7.5

Now, let's examine the provided graphs to determine which one represents the solution.

Graph 1:
This graph represents the inequality r > 7.5. However, the given inequality is r ≤ 7.5. Therefore, Graph 1 is not the correct solution.

Graph 2:
This graph represents the inequality r < 7.5. However, the given inequality is r ≤ 7.5. Therefore, Graph 2 is not the correct solution.

Graph 3:
This graph represents the inequality r ≤ 7.5. Since the given inequality is also r ≤ 7.5, Graph 3 is the correct solution.

Therefore, the graph that shows the solution to the inequality 2/3r ≤ 5 is Graph 3.