A system of inequalities is shown.
y ≥ 5
y ≤ (2/3)x + 3
Graph the boundary lines of the system.
Place a point on the coordinate plane to show one solution to the system.
y ≥ 5
y ≤ (2/3)x + 3
Graph the boundary lines of the system.
Place a point on the coordinate plane to show one solution to the system.
The boundary line of y ≥ 5 is the graph of y = 5, which is a horizontal line through 5 on the y-axis, with a solid line.
The boundary line of y ≤ (2/3)x + 3 is the graph of y = (2/3)x + 3, with a solid line.
The graph of the inequality y ≥ 5 is shaded above the boundary line, due to the ≥ sign.
The graph of the inequality y ≤ (2/3)x + 3 is shaded below the boundary line, due to the ≤ sign.
The point (6,6) would be a solution.
