Graph the solution of the system of linear inequalities.
x less than or equals 5
y greater than or equals minus 6


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.

Graph the solution of the system of linear inequalities. x less than or equals 5, y greater than or equals minus 6.

Learn how to graph the solution to the system of linear inequalities x ≤ 5 and y ≥ -6. This problem demonstrates graphing methods, shading regions, and identifying where inequalities overlap. Suitable for students in Grades 7-9.

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