To solve the inequality \( \frac{p}{7} \leq 6 \), you can multiply both sides of the inequality by 7 (since 7 is positive, the direction of the inequality remains the same):
\[ p \leq 6 \times 7 \]
Calculating the right side:
\[ p \leq 42 \]
So the solution to the inequality is:
\[ p \leq 42 \]