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Review of Linear Inequalities and Systems of Linear Inequalities

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.

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Review of Linear Inequalities and Systems of Linear Inequalities

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

  2. 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. Y ≥0.5x - 3 true? yes yes no y ≥ 0.5x - 3 (0) ≥ 0.5(0) - 3 (-2) ≥ 0.5(2) - 3 0 ≥ 0.5(10) - 3 simplify 0 ≥ -3 -2 ≥ -2 0 ≥ 2 (x, y) A(0,0) B(2,-2) C(10,0)

  3. 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? yes no no y > 0.5x - 3 (0) > 0.5(0) - 3 (-2) > 0.5(2) - 3 0 > 0.5(10) - 3 simplify 0 > -3 -2 > -2 0 > 2 (x, y) A(0,0) B(2,-2) C(10,0)

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

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