2.7 Two-Variable Inequalities

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2.7 Two-Variable Inequalities
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• y lt ____ or y gt _____ dashed line. This means
  that the line is NOT part of the solution.

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• y lt ____ or y gt _____ solid line. This means
  that the line IS part of the solution.

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Which way do you shade the graph?
Graph the inequality y gt -x 2 Which way do
you shade? - Pick a point, not on the line. Plug
it in and see if the equation is true.
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Which way do you shade the graph?
Graph the inequality y gt -x 2 What is the
easiest point to pick? (0,0) Plug in 0 gt -
(0) 2
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Which way do you shade the graph?
Graph the inequality y gt -x 2 0 gt - (0)
2 Is this true? NO. So dont cover this point
shade the other direction.
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What if the answer WAS true?
Graph the inequality y lt -x 2 0 lt - (0)
2 Is this true? YES. So DO cover this point
shade the graph to cover the point.
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Practice graph each inequality

• y lt 3x 2
• y lt x 4 - 3
• c. y gt x - 3 2