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6-5 Linear Inequalities

Learn how to graph linear inequalities in two variables and apply them to real-world situations. Practice identifying solutions, graphing inequalities, rewriting inequalities, and writing inequalities from graphs.

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6-5 Linear Inequalities

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  1. 6-5 Linear Inequalities Learning Target: I can graph linear inequalities in two variables I can use linear inequalities when modeling real-world situations

  2. Linear Inequality: in two variables, such as can be formed by replacing the equal sign in a linear equation with an inequality symbol Solution of an inequality: in two variable is an ordered pair that makes the inequality true.

  3. Problem 1: Identifying Solutions of a Linear Inequality Is the ordered pair a solution of (1,2)

  4. Is (-3,-7) a solution of ?

  5. What you need to know: • Type of Lined needed: • < or > Dashed line • Solid Line • Where to Shade: • or Shade Above • or Shade Below

  6. Problem 2: Graphing an Inequality in Two Variables What is the graph of

  7. What is the graph of

  8. What is the graph of

  9. What is the graph of

  10. Problem 3: Graphing a Linear Inequality in One Variable What is the graph of

  11. What is the graph of

  12. What is the graph of

  13. What is the graph of

  14. Problem 4: Rewriting to Graph an Inequality An interior decorator is going to remodel a kitchen. The wall above the stove and the counter is going to be redone as shown. The owners can spend $420 or less. Write a linear inequality and graph the solutions. What are 3 possible prices for the wallpaper and tiles?

  15. For a party, you can spend no more than $12 on nuts. Peanuts cost $2/lb. Cashews cost $4/lb. What are three possible combinations of peanuts and cashews you can buy?

  16. Problem 5: Writing an Inequality From a Graph What is the inequality that represents the graph?

  17. What is the inequality that represents the graph?

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