3.4 Solving Systems of Linear Equations

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3.4 Solving Systems of Linear Inequalities

• Objectives Write and graph a system of linear
  inequalities in two variables.
• Write a system of
  inequalities in two variables for a given
  solution region.
• Standard 2.8.11.K. Apply an appropriate
  technique to graph a linear inequality in two
  variables.

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• A system of linear inequalities has two or more
  linear inequalities that use the same variables.
• The solution is any ordered pair that makes both
  of the inequalities in the system a true
  statement at the same time.
• When graphing a system of linear inequalities,
  shade the part of the graph where all of the
  solution regions for each individual linear
  inequality overlap.

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b. x 0 y 0 y gt -x 2 y
-2x 3
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C.
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d. y gt -x 2 y gt x 3 y 3

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Ex 2. Graph each inequality in a coordinate plane.

• a. 3 x 2

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b. 1 lt y lt 3
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c. 0 lt x 4
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d. 1 y lt 4
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Writing Activities
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Homework Integrated Algebra II- Section 3.4
Level A Honors Algebra II- Section 3.4 Level B