3.4 Solving Systems of Linear Equations

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3.4 Solving Systems of Linear Equations

• 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 is a collection
of linear inequalities in the same variables.The
solution is any ordered pair that satisfies each
of the inequalities in the system.To graph a
system of linear inequalities, shade the part of
the plane that is the intersection of all the
individual solution regions.
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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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PSSA Warm-Up QuestionAlg II Chp. 3

• Standard 2.8.11 G Analyze and explain systems of
  equations and inequalities.
• Solve this system of inequalities
• 2x y lt 5 y lt x - 4

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