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Understanding Linear Inequalities with Desmos and Wabbit

Review linear inequalities and systems, graphing on PowerPoint. Learn to differentiate solid and dashed lines, and identify solution sets on a Cartesian grid. Use Desmos, Wabbit, and graph paper for better comprehension.

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Understanding Linear Inequalities with Desmos and Wabbit

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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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