To solve the inequality \( 7x \leq \frac{1}{49} \), follow these steps:
Isolate \( x \): Divide both sides of the inequality by 7.
\[ x \leq \frac{1/49}{7} \]
Simplify the right side:
\[ \frac{1/49}{7} = \frac{1}{49 \times 7} = \frac{1}{343} \]
Write the solution:
\[ x \leq \frac{1}{343} \]
Thus, the solution to the inequality \( 7x \leq \frac{1}{49} \) is:
\[ x \leq \frac{1}{343} \]