Here is the graph of the system of inequalities:

• The blue dashed vertical line represents $x \leq 5$, with shading to the left.
• The green dashed horizontal line represents $y \geq -6$, with shading above.

The solution to the system is the region where both shaded areas overlap, which is the area to the left of $x = 5$ and above $y = -6$.

Would you like further details or have any questions about the graph?

Here are 5 related questions to extend your understanding:

1. How would the graph change if the inequality was $x > 5$ instead of $x \leq 5$?
2. How would you graph $y \leq -6$ instead of $y \geq -6$?
3. What happens if you add another inequality, such as $y \leq 2$, to the system?
4. How would the region look if the inequality $x = 5$ was strict (without the "equal to" part)?
5. How do you find the intersection points of multiple inequalities?

Tip: Always check the boundary lines (dashed or solid) to determine if they are included in the solution.