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Published bySusan Barrett Modified over 9 years ago

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AAT(H) 9.5 SYSTEMS OF INEQUALITIES

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EX 1) GRAPH THE INEQUALITY Remember! use a dashed line for and a solid line for ≤ or ≥ Test one point in each region to see where to shade A solution is a region (solution set) – not the intersection point like in a system of equations. Dashed Line A solution is (0,2) so shade above the line

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EX 2) GRAPH THE INEQUALITY Solid Line A solution is (-2,-2) so shade below the line

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EX 3) GRAPH THE SYSTEM OF INEQUALITIES Graphing a System Sketch the graph of each individual inequality. Find the region that is common to every graph in the system. This will be the solution set. First inequality: solid line Second inequality: dashed line A solution to BOTH inequalities is (-1, 0)

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EX 4) GRAPH THE SYSTEM OF INEQUALITIES No Solution! There is no solution set that satisfies BOTH inequalities

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EX 5) GRAPH THE SYSTEM OF INEQUALITIES AND FIND THE VERTICES OF THE TRIANGLE.

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EX 6) GRAPH THE SYSTEM OF INEQUALITIES AND FIND THE VERTICES OF THE TRIANGLE.

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EX 7) GRAPH THE SYSTEM OF INEQUALITIES A solution point is (0, 0)

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EX 8) GRAPH THE SYSTEM OF INEQUALITIES

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EX 9) GRAPH THE SYSTEM OF INEQUALITIES

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EX 10) GRAPH THE SYSTEM OF INEQUALITIES

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PRACTICE pg. 27 – 31, 35, 37, 49

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