1. Linear Inequalities in One Variable Objective: To solve linear inequalities

2. Interval notation We can express our answers in two ways. We can use the inequality signs ( ) or we can use interval notation.

3. Solving Linear Inequalities Solve:

4. Solving Linear Inequalities Solve: Add 7 Subt 3x Divide by 2 or

5. Solving Linear Inequalities You try:

6. Solving Linear Inequalities You try:

7. Solving Linear Inequalities Solve:

8. Solving Linear Inequalities Solve: Mult by 2 Subt 2 Subt 2x Divide by -5 When you multiply or divide by a negative number you must change the inequality sign.

9. Solving Linear Inequalities You try:

10. Solving Linear Inequalities You try:

11. Solving a Double Inequality Solve:

12. Solving a Double Inequality Solve: We need x by itself. Whatever we do to one term, we do to all three.

13. Solving a Double Inequality Solve: We need x by itself. Whatever we do to one term, we do to all three. Add 1 Divide by 6 or

14. Solving a Double Inequality You try:

15. Solving a Double Inequality You try:

16. Solving an Absolute Value Inequality Solve:

17. Solving an Absolute Value Inequality Solve: We want to be closer than 2 units from zero. We need to look at 2 and -2. ------|---------|----------|------- -2 0 2

18. Solving an Absolute Value Inequality Solve: We want to be closer than 2 units from zero. We need to look at 2 and -2. ------|---------|----------|------- -2 0 2

19. Solving an Absolute Value Inequality Solve: and

20. Solving an Absolute Value Inequality Solve:

21. Solving an Absolute Value Inequality Solve: We now want values 7 units or more away from zero.

22. Solving an Absolute Value Inequality Solve: We now want values 7 units or more away from zero. --------|--------------|---------------|------- -7 0 7

23. Solving an Absolute Value Inequality Solve: or

24. Solving an Absolute Value Inequality You Try:

25. Solving an Absolute Value Inequality You Try: and or

26. Homework Pages 150-151 19-29 odd 37,39 45-53 odd