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

22
22

23.5
23.5

23
23

22.5

Answer 1

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

1. Start by isolating the term with \(r\):

\[ 3r - 47.5 > 21.5 \]

2. Add \(47.5\) to both sides:

\[ 3r > 21.5 + 47.5 \]

\[ 3r > 69 \]

3. Now, divide both sides by \(3\):

\[ r > 23 \]

This means that any value of \(r\) greater than \(23\) will satisfy the inequality.

Among the provided options:

• \(22\) (does not satisfy)
• \(22.5\) (does not satisfy)
• \(23\) (does not satisfy)
• \(23.5\) (satisfies)

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

23.5.