To solve the inequality \( Rx > 10 \), where \( R \) is a positive number, we can isolate \( x \) by dividing both sides of the inequality by \( R \). Since \( R > 0 \), the direction of the inequality will not change.
Here are the steps:
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Start with the inequality: \[ Rx > 10 \]
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Divide both sides by \( R \): \[ x > \frac{10}{R} \]
Thus, the solution to the inequality \( Rx > 10 \) is: \[ x > \frac{10}{R} \]
This means that \( x \) must be greater than \( \frac{10}{R} \) for the inequality to hold true.