Graph the solution of the system of linear inequalities.
StartSet Start 2 By 1 Matrix 1st Row 1st Column 5 x minus 4 y less than or equals 20 2nd Row 1st Column y less than or equals minus 5 EndMatrix 
 


Here is the graph of the system of linear inequalities:

- The blue line represents \( 5x - 4y = 20 \), and the region below this line is shaded.
- The green line represents \( y = -5 \), and the region below this horizontal line is also shaded.
- The overlapping shaded region is the solution to the system of inequalities.

Would you like more details or have any specific questions?

Here are 5 related questions for further exploration:
1. How do you solve a system of linear inequalities algebraically?
2. What is the significance of using solid or dashed lines when graphing inequalities?
3. How do you find the intersection points of two lines algebraically?
4. Can a system of linear inequalities have no solution? Why?
5. How do you check if a point lies within the solution region of a system of inequalities?

**Tip:** Always test a point (like the origin) to verify which side of the boundary lines to shade!

Graph the solution of the system of linear inequalities. StartSet Start 2 By 1 Matrix 1st Row 1st Column 5x - 4y ≤ 20 2nd Row 1st Column y ≤ -5 EndMatrix

Explore how to graph the system of linear inequalities 5x - 4y ≤ 20 and y ≤ -5. This step-by-step solution explains key concepts like identifying boundary lines, shading regions, and finding the overlapping solution area. Suitable for students in Grades 8-10.

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