10.7 Day 1 Systems of Inequalities 2011
February 11, 2011
10.7 Systems of Inequalities
DAY 1
Objective: Graph systems of inequalities.
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10.7 Day 1 Systems of Inequalities 2011
February 11, 2011
Warm­up:
Graph each function.
1. x2 + y2 = 16
2. y = x2 ­ 3
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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.
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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
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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!
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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
{
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10.7 Day 1 Systems of Inequalities 2011
February 11, 2011
Graph the system of inequalities by hand.
y > ­x2 + 4
2x ­ y > ­2
{
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10.7 Day 1 Systems of Inequalities 2011
February 11, 2011
Graph the system of inequalities by hand.
{
y < 4
y > |x ­ 3|
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10.7 Day 1 Systems of Inequalities 2011
February 11, 2011
Homework:
page 813 (12 ­ 52) even, skip #22
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10.7 Day 1 Systems of Inequalities 2011
February 11, 2011
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