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Module 6 topic 3 notes

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Module 6 topic 3 notes

1. 1. Graphing Linear Inequalities
2. 2. Example 1 <ul><li>Check whether the ordered pair is a solution of 2 x – 3y > -2 </li></ul><ul><li>(0,0) 2(0)-3(0) > -2 0 > -2 True </li></ul><ul><li>(0,1) 2(0)-3(1) > -2 -3 > -2 False </li></ul><ul><li>(2,-1) 2(2)-3(-1) > -2 7 > -2 True </li></ul>
3. 3. Example 2 Graph x<-2 x < -2 is a vertical line. Dashed Check (0,0) 0<-2 false
4. 4. Example 3 graph y < 1 y < 1 is a horizontal line. Solid Check (0,0) 0 < 1 true
5. 5. Toolkit Graphing Inequalities Find the y-intercept = +1 and slope = - 3/4 Dashed or solid Dashed because > Test a point and shade. (0, 0) y > -3/4 x + 1 0 > -3/4(0) + 1 0 > 1 FALSE Shade area without (0, 0)
6. 6. Graphing a Linear Inequality in Two Variables Sketch the graph of the inequality. Solid line True
7. 7. Graphing a Linear Inequality in Two Variables Sketch the graph of the inequality. Dotted line False
8. 8. Try these. Determine if the graph is <, >, < or > Click here. How do you graph the inequality. Click Here.