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Graphing Linear Inequalities in Two Variables

Graphing Linear Inequalities in Two Variables. Section 2.8. Review. Which of the following ordered pairs is a solution of 2 x + 5y > 9 ? (–4, –1) (–2, 3) (2, –4) (6, –1). Steps in Graphing. Draw the graph either applying slope–intercept or quick graph form

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Graphing Linear Inequalities in Two Variables

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  1. Graphing Linear Inequalities in Two Variables Section 2.8

  2. Review Which of the following ordered pairs is a solution of 2x + 5y > 9 ? • (–4, –1) • (–2, 3) • (2, –4) • (6, –1) 2.8: Graph Linear Inequalities in Two Variables

  3. Steps in Graphing • Draw the graph either applying slope–intercept or quick graph form • When using “cover–up,” if there is a negative coefficient in the y, flip the direction of the graph • Determine what the sign is and graph the line • Dotted Line: Greater, Less, or not–equal to • Solid Line: Greater then OR equal to, Less than OR equal to, Equal to • Shade above or below the line by looking at inequality 2.8: Graph Linear Inequalities in Two Variables

  4. Steps in Graphing Greater Than shade u > > 2.8: Graph Linear Inequalities in Two Variables

  5. Steps in Graphing Less Than shade own < < 2.8: Graph Linear Inequalities in Two Variables

  6. Example 1 Graph 2x + 3y <6 Graph, as if, it was an equality. OR (3, 0) and (0, 2) 2.8: Graph Linear Inequalities in Two Variables

  7. Example 2 Graph –4x – 2y > 8 OR (–2, 0) and (0, –4) 2.8: Graph Linear Inequalities in Two Variables

  8. Example 2 Calculator Graph –4x – 2y > 8 Must be in slope–intercept form Go to Y= in graphing calculator Greater than Less than 2.8: Graph Linear Inequalities in Two Variables

  9. Example 2 Calculator Graph –4x – 2y > 8 2.8: Graph Linear Inequalities in Two Variables

  10. Example 3 Graph y >4 2.8: Graph Linear Inequalities in Two Variables

  11. Example 4 Graph x <7 2.8: Graph Linear Inequalities in Two Variables

  12. Your Turn Graph 3>3/2y y< 2 2.8: Graph Linear Inequalities in Two Variables

  13. Example 5 Graph 2/3 (2x – y) < 2 y > 2x – 3 2.8: Graph Linear Inequalities in Two Variables

  14. Example 6 You have two part–time summer jobs, one that pays $9 and hour and another that pays $12 an hour. You would like to earn at least $240 a week. Write an inequality describing the possible amounts of times you can schedule at each jobs. Graph the inequality. Each space is worth 5. $12 an hour job (every 5) $9 an hour job (every 5) 2.8: Graph Linear Inequalities in Two Variables

  15. Your Turn A pizza place has 4800 ounces (300 pounds) of dough. A small pizza uses 12 ounces of dough and a large pizza uses 18 ounces of dough. Write and graph an inequality describing the possible numbers of small and large pizzas that can be made. Each space is worth 50. Large Pizzas (per 50) Small Pizzas (per 50) 2.8: Graph Linear Inequalities in Two Variables

  16. Assignment Page 135 3–27 odd, 43–47 odd 2.8: Graph Linear Inequalities in Two Variables

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