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 is a true statement

1 answer

To determine the values of \( r \) that make the inequality \( 3r - 47.5 > 21.5 \) true, we can solve the inequality step by step.

  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: \[ r > 23 \]

So, the values of \( r \) that make the inequality \( 3r - 47.5 > 21.5 \) true are \( r > 23 \). Any value greater than 23 will satisfy the inequality.