Alg2 3_3 - Systems of Inequalities

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Slide 1

Solve the system of inequalities.   ALGEBRA 2 LESSON 3-3 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. 3-3

Slide 2

(continued) ALGEBRA 2 LESSON 3-3 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. 3-3

Slide 3

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 3-3 Systems of Inequalities 3-3

Slide 4

(continued) ALGEBRA 2 LESSON 3-3 Systems of Inequalities The region of overlap is a graph of the solution. 3-3

Slide 5

Solve the system of inequalities.   ALGEBRA 2 LESSON 3-3 Systems of Inequalities Every point in the blue region above the dashed line is a solution of y > –| x + 2| + 5. 3-3

Slide 6

(continued)   ALGEBRA 2 LESSON 3-3 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. 3-3

Slide 7

ALGEBRA 2 LESSON 3-3 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. 3-3

Summary: algebra

Tags: algebra

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