To solve the inequality \(2n > 9\), follow these steps:
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Divide both sides of the inequality by 2: \[ n > \frac{9}{2} \]
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Simplify \(\frac{9}{2}\): \[ \frac{9}{2} = 4.5 \]
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To express \(4.5\) as a mixed number, note that it can be written as: \[ 4 \frac{1}{2} \]
Therefore, the solution to the inequality \(2n > 9\) is: \[ n > 4 \frac{1}{2} \]