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Name _________________________ Algebra I Date ____________ Unit 6 Day 5 Systems of Linear Inequalities Today we will graph systems of linear inequalities and determine whether an ordered pair is a solution to a system of linear inequalities. By the end of class, you will be able to graph systems of linear inequalities and determine where the solutions lie. Warm up Graph. y<x+3 1 y≥- x+5 2 y≤2 x > -3 Steps for graphing systems of inequalities. 1) Graph one of the lines using ________ - __________ _____. 2) Remember _____ or _____ is a dashed line and _____ or _____ is a solid line. 3) Pick a _____ point. 4) __________ toward the test point if the inequality is true and shade __________ from the test point if the inequality is false. 5) __________ for the other line. 6) The _______________ is where the shadings cross. In which graphs is (3, -1) a solution? In which graphs is (2, 3) a solution? Graph the following. 1) y < 2x + 1 1 3 y≥- x+4 3) 3x + y < 7 x≥2 2) y > -x + 2 y≤ 2 x+5 3 4) y + x ≥ 4 y < 2x You try 1) y ≤ -2x + 6 y>x–1 3) 2y – 8x > -4 2 3 y≤- x+5 2) 3y < x - 6 y ≥ -2