Final answer:
The inequality 150 - 5r > 87.5, when solved, yields r < 12.5. Therefore, the value of r is not greater than 12.5; the correct relational statement is r < 12.5.
Step-by-step explanation:
To solve the inequality 150 - 5r > 87.5, we first subtract 150 from both sides to isolate the variable term on one side. This gives us -5r > -62.5. After this step, we divide both sides by -5 to solve for r. Remember, when we divide by a negative number in an inequality, the direction of the inequality sign changes. Therefore, r < 12.5.
Now, we can make a determination about the value of r in relation to 12.5. Since r is less than 12.5, it is not greater than 12.5, so r > 12.5 is incorrect. Also, r can be equal to any value less than 12.5, which means r ≤ -12.5 is incorrect because r can be greater than -12.5. Thus, the correct answer to our inequality question is that r < 12.5.