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 22 22.5

Answer 1

To determine which value of \( r \) makes the inequality \( 3r - 47.5 > 21.5 \) a true statement, we can start by solving 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 \( 3 \): \[ r > 23 \]

The solution to the inequality \( r > 23 \) means that any value greater than 23 will satisfy the inequality.

Now let's look at the provided options:

• 23
• 23.5
• 22
• 22.5

Out of these, the only value that is greater than 23 is \( 23.5 \).

Therefore, the value of \( r \) that makes the inequality \( 3r - 47.5 > 21.5 \) a true statement is \( \text{23.5} \).