Graphing and Solving Systems of Linear Inequalities

1
Graphing and Solving Systems of Linear
Inequalities
2
Steps for Graphing

• Graph the lines and appropriate shading for each
  inequality on the same coordinate plane.
• Be sure to pay attention to whether the lines are
  dotted or solid.
• The final shaded area is the section where all
  the shadings overlap.
• Sometimes it helps to use a different colored
  pencil for each line and shaded region. It makes
  it easier to determine the overlapped shaded
  regions.

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Ex Graph the system.

• x-2y ? 3
• y ? 3x- 4
• 1st inequality
• x-int (3,0)
• y-int (0, -3/2)
• Test point?
• 2nd inequality
• y-int (0,-4)
• Slope 3
• Test point?

4
Ex Graph the system.

• x ? 0
• y ? 0
• x y ? -2
• 1st inequal.
• Vertical line
• 2nd inequal.
• Horizontal line
• 3rd inequal.
• x-int (-2,0)
• y-int (0,2)