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Warm-Up 3.3

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Warm-Up 3.3 1) Graph y – PowerPoint PPT presentation

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Title: Warm-Up 3.3


1
Warm-Up 3.3
1) Graph y lt -x 1
2) Graph the system.
2
3.3 Systems of Linear Inequalities
  • What does the graph of a system of inequalities
    tell you?
  • Where is the answer found for a system of
    inequalities?

3
Graphing a System of Linear Inequalities
  • Graph the line that corresponds to the
    inequality. Use a dashed line for an inequality
    with lt or gt and a solid line for an inequality
    with or .
  • Lightly shade the half-plane that is the graph of
    the inequality. Colored pencils may help you
    distinguish the different half-planes.
  • The graph of the system is the region common
    to all of the half-planes.

4
Example 1
Graph the system.
5
Example 1
Graph the system.
6
Example 2
Graph the system.
7
Example 2
Graph the system.
8
Practice
Graph the system.
1)
9
Example 3
Write the system of inequalities graphed below.
x lt 3
y lt 2x 6
10
Warm-Up
Graph the system.
11
  • What does the graph of a system of inequalities
    tell you?
  • Where is the answer found for a system of
    inequalities?

12
Assignment 3.3
  • Page 159, 12-14, 21-26, 28-46 even
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