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)

Question

Responses

23
23

22
22

22.5
22.5

23.5

Answer 1

To solve the inequality \( 3r - 47.5 > 21.5 \), we can first isolate \( r \).

1. Start with the inequality: \[ 3r - 47.5 > 21.5 \]

2. Add \( 47.5 \) to both sides: \[ 3r > 21.5 + 47.5 \] \[ 3r > 69 \]

3. Divide both sides by \( 3 \): \[ r > 23 \]

Thus, for the inequality \( 3r - 47.5 > 21.5 \) to be true, \( r \) must be greater than \( 23 \).

Among the given options, the value that satisfies this condition is:

• 23.5

Therefore, the correct answer is: 23.5.