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# Ch2.6 Graphing Inequalities

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### Ch2.6 Graphing Inequalities

1. 1. Ch2.6_GraphingInequalities.notebook September 15, 2011 Graph y = ­2x + 4 y 6 5 4 3 2 1 x ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 Chapter 2.6 Graphing Linear Inequalities 1
2. 2. Ch2.6_GraphingInequalities.notebook September 15, 2011 Graph y = ­2x + 4 y 6 5 4 3 2 1 x ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 When graphing inequalities, we have to shade above or below the line 2
3. 3. Ch2.6_GraphingInequalities.notebook September 15, 2011 Graph y ≤ ­2x + 4 y 6 5 4 3 2 1 x ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 Graph y < ­2x + 4 y 6 5 4 3 2 1 x ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 3
4. 4. Ch2.6_GraphingInequalities.notebook September 15, 2011 General Rules   y = ...  Solid line, no shading   y < ...  Dotted line, shaded BELOW   y ≤ ...  Solid Line, shaded BELOW   y > ...  Dotted Line, shaded ABOVE   y ≥ ...  Solid line, shaded ABOVE Steps for Graphing • Begin by plotting points • Determine if a solid or dotted line is used • Graph the line • Shade above or below the line (depending on inequality) 4
5. 5. Ch2.6_GraphingInequalities.notebook September 15, 2011 Graph y ≥ 3x y 6 5 Solid or Dotted line? 4 3 2 Shade above 1 x or below? ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 Graph y = x ­ 2 y 6 5 Solid or Dotted line? 4 3 2 Shade above 1 x or below? ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 5
6. 6. Ch2.6_GraphingInequalities.notebook September 15, 2011 Graph y < 4 ­ 2x y 6 5 Solid or Dotted line? 4 3 2 Shade above 1 x or below? ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 Graph y + 3 ≤ ­2(x ­ 2) y 6 5 Solid or Dotted line? 4 3 2 Shade above 1 x or below? ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 ­6 6
7. 7. Ch2.6_GraphingInequalities.notebook September 15, 2011 Worksheet Side A only 7