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 23 23 23.5 23.5 22.5 22.5 22

Answer 1

To solve the inequality \( 3r - 47.5 > 21.5 \), we can start by isolating \( r \).

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

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

Now we need to find which of the given options satisfies the condition \( r > 23 \).

The options provided are:

• 23
• 23.5
• 22.5
• 22

From these, the value \( 23.5 \) is greater than \( 23 \).

Thus, the correct answer is: 23.5