3.3 Systems of Inequalities 2010 October 20, 2010
3.3 Systems of Inequalities
Objective: To solve systems of linear inequalities.
How do you solve systems of inequalities graphically?
What is a solution region?
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3.3 Systems of Inequalities 2010 October 20, 2010
Check Skills You'll Need:
Solve each inequality.
1. 5x ­ 6 > 27
2. ­18 ­ 5y > 52
3. ­5(4x + 1) < 23
Oct 2­12:39 PM
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3.3 Systems of Inequalities 2010 October 20, 2010
Check Skills You'll Need: Graph each inequality.
4. y < 4x ­ 1
5. 3y > 6x + 3
6. ­5y + 2x > ­5
7. y < |x|
8. y > |x + 3|
9. y < |x ­ 2| + 4
Oct 2­12:45 PM
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3.3 Systems of Inequalities 2010 October 20, 2010
Recall...
Solving Systems of Linear Equations
To solve a system of linear equations by graphing:
Graph each line and find the point of intersection
To solve means:
To find a solution that fits both lines.
The point of intersection is the only solution that exists where a solution fits both lines.
Nov 20­6:49 AM
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3.3 Systems of Inequalities 2010 October 20, 2010
What is a system of inequalities?
{
y < 2x + 1
y < ­2x +5
y > ­3
The shaded region is called the... SOLUTION REGION!
Sand
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3.3 Systems of Inequalities 2010 October 20, 2010
Solve the system of inequalities by graphing.
x ­ 2y < 6
y < ­3/2x + 5
{
Oct 2­12:58 PM
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3.3 Systems of Inequalities 2010 October 20, 2010
Solve the system of inequalities.
{
y > ­x + 4
2x ­ y > ­2
XY axis ­ large
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3.3 Systems of Inequalities 2010 October 20, 2010
Solve the system of inequalities.
{
y < 4
y > |x ­ 3|
Oct 2­1:12 PM
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3.3 Systems of Inequalities 2010 October 20, 2010
Homework
p136 (4 ­ 38)even
Sand
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