Graph the solution of the system of linear inequalities.
y ≥ - x + 5
y ≤ 4x + 5
To graph the system of linear inequalities, we will first graph each inequality separately and then shade the appropriate regions.
Graphing y ≥ -x + 5:
1. Draw a straight line with a slope of -1 passing through the point (0, 5).
2. Since the inequality includes "greater than or equal to," shade the area above the line.
Graphing y ≤ 4x + 5:
1. Draw a straight line with a slope of 4 passing through the point (0, 5).
2. Since the inequality includes "less than or equal to," shade the area below the line.
The shaded region below the line of y ≤ 4x + 5 and above the line of y ≥ -x + 5 is the solution to the system of linear inequalities.
Graph the solution of the system of linear inequalities.
y ≥ - x + 3
y ≤ 2x + 5
To graph the system of linear inequalities, we will first graph each inequality separately and then shade the appropriate regions.
Graphing y ≥ -x + 3:
1. Draw a straight line with a slope of -1 passing through the point (0, 3).
2. Since the inequality includes "greater than or equal to," shade the area above the line.
Graphing y ≤ 2x + 5:
1. Draw a straight line with a slope of 2 passing through the point (0, 5).
2. Since the inequality includes "less than or equal to," shade the area below the line.
The shaded region below the line of y ≤ 2x + 5 and above the line of y ≥ -x + 3 is the solution to the system of linear inequalities.