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?

Question

22

23

23.5

22.5

Answer 1

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

Starting from the inequality: \[ 3r - 47.5 > 21.5 \]

First, add 47.5 to both sides: \[ 3r > 21.5 + 47.5 \] \[ 3r > 69 \]

Next, divide both sides by 3: \[ r > 23 \]

Now we need to determine which of the provided values is greater than 23:

• 22: Not greater than 23.
• 23: Not greater than 23.
• 23.5: Greater than 23.
• 22.5: Not greater than 23.

Thus, the value of \( r \) that makes the inequality \( 3r - 47.5 > 21.5 \) a true statement is:

23.5.