
Solve the system of inequalities. ALGEBRA 2 LESSON 33 Systems of Inequalities Graph each inequality. First graph the boundary lines. Then decide which side of each boundary line contains solutions and whether the boundary line is included. 33
(continued) ALGEBRA 2 LESSON 33 Systems of Inequalities Every point in the red region above the dashed line is a solution of –x + y > –1. Every point in the blue region above the dashed line is a solution of x + y > 3. Every point in the purple region where the red and blue regions intersect is a solution of the system. For example (2, 2) is a solution. 33
Jenna spends at most 150 min a night on math and science homework. She spends at least 60 min on math. Write and solve a system of inequalities to model how she allots her time for these two subjects. ALGEBRA 2 LESSON 33 Systems of Inequalities 33
(continued) ALGEBRA 2 LESSON 33 Systems of Inequalities The region of overlap is a graph of the solution. 33
Solve the system of inequalities. ALGEBRA 2 LESSON 33 Systems of Inequalities Every point in the blue region above the dashed line is a solution of y > – x + 2 + 5. 33
(continued) ALGEBRA 2 LESSON 33 Systems of Inequalities Every point in the purple region where the red and blue regions intersect is a solution of the system. For example (4, 4) is a solution. 33
ALGEBRA 2 LESSON 33 Systems of Inequalities 1. Solve the system of inequalities by graphing. 2. A 24–hour radio station plays only classical music, jazz, talk programs, and news. It plays at most 12 h of music per day, of which at least 4 h is classical. Jazz gets at least 25% as much time as classical. Write and graph a system of inequalities. 3. Solve the system of inequalities by graphing. 33
Summary: algebra
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