When the value of is 23, the equation 3 r minus 47.5 equals 21.5 is a true statement. Which of the following values of r makes the inequality 3 r minus 47.5 greater than 21.5 a true statment

1 answer

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

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

  2. Calculate the right side: \[ 21.5 + 47.5 = 69 \] Thus, we have: \[ 3r > 69 \]

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

So, the value of \(r\) that makes the inequality \(3r - 47.5 > 21.5\) a true statement is any value greater than 23.

In summary, any \(r > 23\) satisfies the inequality.