To solve the inequality \( \frac{x}{5} > 3 \), follow these steps:
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Multiply both sides of the inequality by 5 to eliminate the fraction. Make sure to maintain the direction of the inequality since you are multiplying by a positive number:
\[ x > 3 \times 5 \]
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Perform the multiplication:
\[ x > 15 \]
Thus, the solution to the inequality is:
\[ x > 15 \]
This means that any value of \( x \) greater than 15 will satisfy the inequality.