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Topic 1: Graphing a linear inequality in the plane: Vertical or horizontal line

1. Graph the inequality x ≤ 4 in the coordinate plane.

2. Graph the inequality y > -3 in the coordinate plane.

Topic 2: Graphing a linear inequality in the plane: Slope-intercept form

1. Graph the inequality y ≥ 3x - 2 in the coordinate plane.

2. Graph the inequality y < -2x + 4 in the coordinate plane.

Topic 3: Graphing a linear inequality in the plane: Standard form

1. Graph the inequality 3x + 2y ≤ 12 in the coordinate plane.

2. Graph the inequality 5x - y > 10 in the coordinate plane.

Topic 4: Graphing a system of two linear inequalities: Basic

1. Graph the system of inequalities: y ≤ 2x + 3 and y ≥ -x - 1 in the coordinate plane.

2. Graph the system of inequalities: y > x - 2 and y < -2x + 5 in the coordinate plane.

Topic 5: Graphing a system of three linear inequalities

1. Graph the system of inequalities: y ≥ x + 1, y ≤ 3x - 2, and x ≥ -1 in the coordinate plane.

2. Graph the system of inequalities: y < 2x + 4, y > -x + 1, and y ≤ 5 in the coordinate plane.

Topic 6: Graphing a system of nonlinear inequalities: Problem type 1

1. Graph the system of inequalities: y ≤ x² - 3 and y ≥ x + 2 in the coordinate plane.

2. Graph the system of inequalities: y > x² + x - 6 and y < 2x - 1 in the coordinate plane.