Chapter 6 Solving and Graphing Linear Inequalities

1. Chapter 6Solving and Graphing Linear Inequalities

2. 6.1 Solving One-Step Linear Inequalities Objective: Graph linear inequalities in one variable Solve one-step linear inequalities

3. Terms • Graph

4. Rules • Inequalities • Use the same rules that you use to solve equations. • Starting your Graph • If you have a > or < use an open circle • If you have a > or < use a closed circle • Drawing the line • Pick a test point. • If the test point is true draw your line so that it crosses the test point • If your test point is false draw your line away from the test point • Special Cases • When you multiply or divide by a negative you have to flip the inequality sign.

5. X > -2 -10 < -x X – 5 > 1 5 + x > -5 Practice

6. 15p < 60 -10a > 100 -a< -2 10 5 + x > -5 Practice

7. White Board Practice • One person from each row get materials for white board practice

8. 6.2 Solving Multi-Step Linear Inequalities Objective: Solve multi-step linear inequalities Use linear inequalities to model and solve real-life problems

9. Things to Remember • If you have a > or < use an open circle • If you have a > or < use a closed circle • When you multiply or divide by a negative you have to flip the inequality sign. • Use order of operations in reverse to solve multi-step inequalities

10. X + 5 > -13 2(x-8) > -x + 4 15 – x < 7 - ½ x + 3 < 7 Practice

11. 6.3 Solving Compound Inequalities Objective: Write, solve, and graph compound inequalities model a real-life problem with a compound inequality

12. Terms • Compound inequality

13. Rules • Solve each inequality separately • Graph each inequality on the same number line • If it is an AND graph • SHADE WHERE THEY CROSS • If it is an OR graph • DO NOT SHADE

14. 6 < x – 6 < 8 6 + 2x > 20 or 8 + x < 0 -4 < 2 + x < 1 3x + 8 > 17 or 2x + 5 < 7 Practice

15. 6.3 Solving Compound Inequalities Part 2 Objective: Write, solve, and graph compound inequalities model a real-life problem with a compound inequality

16. 2nd hour Ws 6.2 Brandon Blystone Dalton Mix Breanna Olinger Kyle Reed Cole Robertson Josh Thomas WS 6.3 Brandon Blystone Pre-Test Jonathan Crabb Cody Wheat Jeremy Wiggins 5th Hour Ws 6.1 AJ Knobelauch Ws 6.2 AJ Knobelauch Ws 6.3 Kristin Burnett AJ Knobelauch Ashlee Lewis Pre-Test Kristin Burnett Missing Assignments

17. Rules • Solve each inequality separately • Graph each inequality on the same number line • If it is an AND graph • SHADE WHERE THEY CROSS • If it is an OR graph • DO NOT SHADE

18. Practice problems • 3n + 3 > 24 or 5n - 3 < 25 • -43 < 3x – 10 < -19

19. Practice problems • 5x – 10 > 5 or 10n - 30 < 120 • 15 < 3x – 9 < 21

20. 6.4 Solving Absolute Value Equations and Inequalities Objective: Solve absolute value equations Solve absolute value inequalities

21. Terms • Absolute Value • And graph • Or graph

22. Rules • Get rid of absolute value by making 2 problems • Determine the type of graph (and or or) • Solve both equations • Graph the answers on one number line

23. I x I = 8 I x – 5 I = 7 I x + 3 I < 8 I 3x + 2 I – 1> 10 Practice

24. White Board Practice • One person from each row get materials for white board practice

25. 6.5 Graphing Linear Inequalities in 2 Variables Objective: Graph linear inequalities in two variables

27. 6.6 Stem-and-Leaf Plots and Measures of Central Tendency Objective: Make and use a stem-and-leaf plot Find the measures of central tendency