Graphing Linear Inequalities.

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Graphing Linear Inequalities.

• M.Baade
• 11/27/05
• Period 2

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Notes on Graphing Linear Inequalities.

• When you graph a system of linear inequalities
  you should do the following for each inequality
  in the system
• Graph the line that corresponds to the
  inequality. Use a dashed line for an inequality
  with an or and a solid line for an
  or .
• Lightly shade the half-planes that are the graph
  of the inequality. Different colors may help you
  distinguish between the different half-planes.
• The graph of the system is the region common to
  all of the half-plane.

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Example 1
The graph of the system.
(5,0)
(-4,0)
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Example 2
The graph of the system
(0,2)
(0,-1)
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How To Use The Math Helper

• Work out the problem given on the slide on a
  sheet of paper if the equation(s) are not in y-
  intercept form (ymxb)
• Then graph each equation on a sheet of graph
  paper.
• Select the correct answer out of three on the
  next slide by clicking the arrow next to your
  choice.
• A correct answer will send you on to the next
  problem. A wrong answer will send you back to the
  notes slide which by pressing the U-Turn button
  you can go back to your last answer slide so you
  can try to pick the correct answer again.

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Problem 1
Graph the system of linear inequalities.
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Problem 1 Answers
A.
B.
(0,1)
(0,2)
(0,-2)
(,0-2)
C.
(0,1)
(0,-2)
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Problem 2
Graph the system of linear inequalities
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Answers to Problem 2
A.
B.
(0,5)
(0,5)
(1,0)
(1,0)
(0,5)
C.
(1,0)
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Problem 3
Graph the system of linear inequalities.
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Answers to Problem 3
B.
A.
(0,3)
(0,3)
(0,-4)
(0,-4)
C.
(0,3)
(0,-4)
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Problem 4
Graph the system of linear inequalities
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Answers to problem 4
A.
B.
(0,4)
(0,5)
(0,1)
(0,1)
C.
(0,4)
(0,1)
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Problem 5
Graph the system of linear inequalities
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Answers to Problem 5
A.
B.
(0,3)
(0,2)
(0,-2)
(0,-2)
C.
(0,2)
(0,-2)
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YAH! You Are Finished!
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Resources Used

• Larson, R., Boswell, L., Kanold, D., Stiff, L.
  (2001). Algebra 2. Evanston, Illinois McDougal
  Littell Inc.

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