To determine the values of \( r \) that make the inequality \( 3r - 47.5 > 21.5 \) true, we can solve the inequality step by step.
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Start with the inequality: \[ 3r - 47.5 > 21.5 \]
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Add 47.5 to both sides: \[ 3r > 21.5 + 47.5 \] \[ 3r > 69 \]
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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.