 # Solving Systems of Linear Inequalities Adapted from Walch Education.

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Solving Systems of Linear Inequalities Adapted from Walch Education

Key Concepts A system of inequalities is two or more inequalities in the same variables that work together. The solution to a system of linear inequalities is the intersection of the half planes of the inequalities. Look for the area where the shading of the inequalities overlaps; this is the solution.

Practice # 1 Solve the following system of inequalities graphically:

Graph the line x + y = 10. Use a dashed line because the inequality is non-inclusive Shade the solution set. First pick a test point. Choose a point that is on either side of the line. Test point: (0, 0) Since the point (0, 0) makes the inequality false, shade the opposite side of the line.

Graph the line 2x – 4y = 5 on the same coordinate plane. –Use a dashed line because the inequality is non-inclusive Shade the solution set. First pick a test point. Choose a point that is on either side of the line. Test point: (0, 0) Since the point (0, 0) makes the inequality false, shade the opposite side of the line.

The overlap of the two shaded regions, which is darker, represents the solutions to the system:

Thanks for Watching !!!!! ~Dr. Dambreville