Question

When the value of r is 23, the equation 3r−47.5=21.5 is a true statement. Which of the following values of r makes the inequality 3r−47.5>21.5 a true statement? (1 point)
Responses

22
22

22.5
22.5

23.5
23.5

23

Answer 1

To determine which values of r make the inequality 3r - 47.5 > 21.5 a true statement, we need to solve the inequality for r.

Starting with the given inequality, we can add 47.5 to both sides to isolate the variable:
3r - 47.5 + 47.5 > 21.5 + 47.5
3r > 69

Next, we divide both sides of the inequality by 3 to solve for r:
r > 23

So any value of r greater than 23 will make the inequality a true statement. Therefore, the correct answer is 23.5.