To solve the inequality \( \frac{x}{3} \leq 8 \), follow these steps:
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Multiply both sides of the inequality by 3 to eliminate the fraction (since 3 is positive, the direction of the inequality remains the same):
\[ x \leq 8 \times 3 \]
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Calculate the right side:
\[ x \leq 24 \]
Therefore, the solution to the inequality is:
\[ x \leq 24 \]