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.

**- Algebra House**