Review of Linear Inequalities and Systems of Linear Inequalities Use Desmos.com, Wabbit and Graph paper to understand graphs on.ppt.

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Review of Linear Inequalities and Systems of Linear Inequalities Use Desmos.com, Wabbit and Graph paper to understand graphs on.ppt

Review of Inequalities on Cartesian Grid Solid line as a boundary. Points above y=0.5x - 3 as well as points on the line are included in the solution set. (x, y) A(0,0) B(2,-2) C(10,0) y ≥ 0.5x - 3 (0) ≥ 0.5(0) - 3 (-2) ≥ 0.5(2) ≥ 0.5(10) - 3 simplify 0 ≥ ≥ -2 0 ≥ 2 true? yes no Y ≥ 0.5x - 3

(x, y) A(0,0) B(2,-2) C(10,0) y > 0.5x - 3 (0) > 0.5(0) - 3 (-2) > 0.5(2) > 0.5(10) - 3 simplify 0 > > -2 0 > 2 true? yes no Review of Inequalities on Cartesian Grid Dashed line as a boundary. Points above y=0.5x - 3 but not points on the line are included in the solution set. y > 0.5x - 3

true? no yes no (x, y) A(8,0) B(2,-1) C(5,2) D(4,-1) E(3,-3) y > 0.5x - 3 (0) > 0.5(8) - 3 (-1) > 0.5(2) - 3 (2) > 0.5(5) - 3 (-1) > 0.5(4) - 3 (-3) > 0.5(3) - 3 simplify 0 > 1 -1 > -2 2 > > > -1.5 y > -x + 3 (0) > -(8) + 3 (-1) > -(2) + 3 (2) > -(5) + 3 (-1) > -(4) + 3 (-3) > -(3) + 3 simplify 0 > > 1 2 > > > 0 true? yes no yes no true for both? no yes no Inequalities on Cartesian Grid Which of the following points are in the solution set of y > 0.5x – 3 and y > -x +3? A(8,0), B(2,-1), C(5,2), D(4,-1), E(3,-3) y > 0.5x - 3 y > -x + 3