10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 10.7 Systems of Inequalities DAY 1 Objective: Graph systems of inequalities. 1 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Warm­up: Graph each function. 1. x2 + y2 = 16 2. y = x2 ­ 3 2 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Review: GRAPHING INEQUALITIES What type of line? y > 3x + 2 y < 4 y > ­2x + 1 y < 1/2 x ­ 3 Where do I shade? y > 3x + 2 y < 4 y > ­2x + 1 y < 1/2 x ­ 3 What if I can't tell where to shade? Choose a point and plug it in to check. 3 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Class Activity...Yay!!! Groups: 3 ­ 4 students (desks facing each other) Materials: textbook, graph paper, pencil, straight edge Procedure: 1. You will work on 2 problems at a time. 2. Each student will work on their own paper. 3. Work with your group to check answers. 4. When you are done call a teacher to your group. 5. If you are correct you will be given the next 2 problems. 6. Continue the process until finished with all problems. Grading: Participation ­ 10 points Classwork ­ 10 points ­ Homework ­ 5 points 4 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Review: Graph each inequality. 1. y < 4x ­ 1 2. 3y > 6x + 3 3. ­5y + 2x > ­5 5 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 What is a system of inequalities? { y < 2x + 1 y < ­2x +5 y > ­3 The shaded region is called the... SOLUTION REGION! 6 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Graph the system of inequalities by hand. x ­ 2y < 6 x 2 + y2 < 25 { 7 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Graph the system of inequalities by hand. y > ­x2 + 4 2x ­ y > ­2 { 8 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Graph the system of inequalities by hand. { y < 4 y > |x ­ 3| 9 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 Homework: page 813 (12 ­ 52) even, skip #22 10 10.7 Day 1 Systems of Inequalities 2011 February 11, 2011 11