To solve the inequality \( 45 < 3u - 15 \), we will follow these steps:
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Add 15 to both sides: \[ 45 + 15 < 3u \] This simplifies to: \[ 60 < 3u \]
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Divide both sides by 3: \[ \frac{60}{3} < u \] This simplifies to: \[ 20 < u \] or equivalently: \[ u > 20 \]
Thus, the solution to the inequality is: \[ u > 20 \]