4.3 Solving Systems of Linear Inequalities 11/7/12.

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4.3 Solving Systems of Linear Inequalities 11/7/12

Example 1 Check Solutions of System of Inequalities Check whether (1, -2) is a solution of the system. 3x + y > -1 2x – 2y < 6 Plug in 1 for x and -2 for y in both inequalities. 3(1) + (-2) > > -1 1 > -1 TRUE 2(1) – 2(-2) < < 6 6 < 6 FALSE Answer: Not a solution

Graph the system. Graph a System of Two Inequalities +yx4 > y2x2x6 ≥ – y > -x + 4 y ≤ 2x - 6

Graph the system. +y2x4 > 2y 4x4x-2 ≤ – y > -2x + 4 y ≥ 2x + 1

Graph the system. -2y5x5x21 ≥ 8y 3x3x8 ≤ +

Graph the system. +y2x5 < 5y 10x10 ≥ +

Homework: 4.3 p.189 #13-15, 33-40