To determine which values of \( r \) make the inequality \( 3r - 47.5 > 21.5 \) a true statement, let's first solve the inequality.
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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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Now, divide both sides by \( 3 \): \[ r > \frac{69}{3} \] \[ r > 23 \]
So, the values of \( r \) that make the inequality \( 3r - 47.5 > 21.5 \) true are all values greater than \( 23 \).