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

23.5
23.5

23
23

22
22

22.5
22.5

Answer 1

To determine which value of \( r \) makes the inequality \( 3r - 47.5 > 21.5 \) true, let's first solve the inequality.

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 \( 3 \): \[ r > 23 \]

Now, we need to choose a value greater than \( 23 \) from the provided options:

• 23.5 (greater than 23)
• 23 (not greater than 23)
• 22 (not greater than 23)
• 22.5 (not greater than 23)

The only value that satisfies the inequality \( r > 23 \) is 23.5.

Thus, the correct response is:

23.5