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Graphing Systems of Inequalities Which phrase describes this inequality? y is LESS THAN 2x+3 y is GREATER THAN 2x+3 y>2x+3 Which phrase describes this inequality? y is LESS THAN 2x+3 y is GREATER THAN 2x+3 y<2x+3 Match the fact with the inequality by dragging the answer (from the bottom of this slide) to its rightful place. 3. 4. 1. 2. y<⅓x+4 y≥-½x y>6x-1 y≤4 solid line, shaded down ? dotted line, shaded up ? solid lie, shaded up ? dotted line, shaded down ? Match the fact with the inequality by dragging the answer (from the bottom of this slide) to its rightful place. 5. x>6 3. 4. 6. x<-2 1. 2. y≤-3x-2 y=x y≥¼x+1 y<x-3 solid line, shaded up ? solid line, no shading ? dotted line, shaded to the right ? dotted line, shaded to the left ? dotted line, shaded down ? solid line, shaded down ? 2 -2 4 -4 2 -2 4 -4 6 -6 What is this line's equation? y = 2x + 1 y = ½x + 1 y = x + 2 2 -2 4 -4 2 -2 4 -4 6 -6 The inequality is: y ≥ ½x + 1 y > ½x + 1 y ≤ ½x + 1 y < ½x + 1 2 -2 4 -4 2 -2 4 -4 6 -6 y = ⅓x + 2 y = 3x - 2 y = 3x + 2 y = ⅓x - 2 red line equation: 2 -2 4 -4 2 -2 4 -4 6 -6 y ≥ 3x - 2 y > 3x - 2 y ≤ 3x - 2 y < 3x - 2 red inequality: 2 -2 4 -4 2 -2 4 -4 6 -6 Which region is shaded? click the correct paint can . . . . 2 -2 4 -4 2 -2 4 -4 6 -6 Purple line equation: y = -3x + 4 y = -3x - 4 y = ¼x - 3 y = -¼x - 3 2 -2 4 -4 2 -2 4 -4 6 -6 Purple inequality: y ≤ ¼x - 3 y > ¼x - 3 y < ¼x - 3 y ≥ ¼x - 3 2 -2 4 -4 2 -2 4 -4 6 -6 Green line equation: 8x - 6y = 24 8x + 6y = 24 6x - 8y = 24 6x + 8y = 24 2 -2 4 -4 2 -2 4 -4 6 -6 Green line inequality: 6x + 8y ≥ 24 6x + 8y > 24 6x + 8y ≤ 24 6x + 8y < 24 |