1. The problem is to solve the inequality $7j \leq -49$ for $j$. 2. To isolate $j$, divide both sides of the inequality by 7. Since 7 is positive, the inequality direction remains the same. 3. Write the division step with cancellation: $$7j \leq -49 \implies \cancel{7}j \leq \frac{-49}{\cancel{7}}$$ 4. Simplify the right side: $$j \leq -7$$ 5. The solution is all values of $j$ less than or equal to $-7$. 6. This matches the graph description with a filled circle at $-7$ and an arrow pointing left. Final answer: $$j \leq -7$$