AAT(H) 9.5 SYSTEMS OF INEQUALITIES. EX 1) GRAPH THE INEQUALITY Remember! use a dashed line for and a solid line for ≤ or ≥ Test one point in each region.

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Presentation transcript:

AAT(H) 9.5 SYSTEMS OF INEQUALITIES

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

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

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)

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

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

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

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

EX 8) GRAPH THE SYSTEM OF INEQUALITIES

EX 9) GRAPH THE SYSTEM OF INEQUALITIES

EX 10) GRAPH THE SYSTEM OF INEQUALITIES

PRACTICE pg. 27 – 31, 35, 37, 49