1. Solving Inequalities Objective: SWBAT solve inequalities and represent solutions to inequalities graphically while using set notation. Advanced Algebra Trigonometry Appendix A

2. Warm Up

3. Inequalities We solve inequalities the same way as we solve equations. Just remember to reverse the direction of the inequality symbol when multiplying or dividing by a negative number. <is less than – open circle >is greater than – open circle  is less than or equal to – closed circle  is greater than or equal to – closed circle

4. Inequalities 1. 7x – 5 < 6x + 4 x < 9 Set builder notation: {x| x < 9} read as “ the set of all x such that x is less than 9” Interval notation: (-∞, 9) Open interval because 9 is not part of the interval, and we use parenthesis.

5. Inequalities

6. Inequalities

7. Inequalities 4. 5x + 2 > 7x – 4

8. Inequalities 5. 4x + 9 < 25

9. Interval Notation

10. Classwork Page 441# 57

11. Homework Page 442 # 59-68

12. Do Now Solve and graph the inequality:

13. Example:

14. Example:

15. Homework Page 441 # 57, 60, 62, 70,72