2. Inequalities In Algebra County

3. Types of inequality symbols

5. How to read inequalities

6. x is greater than 5

7. x is greater than or equal to 5

8. x is less than 5

9. x is less than or equal to 5

10. 4 is less than x x is greater than 4

11. Examples

12. “Mike, you cannot eat more than 3 hot dogs.” Let h = hot dogs

13. “I can only spend $90 on groceries today.” Let d = dollars spent

14. “There are more than 200 people here today.” Let p = number of people

15. “Every adult could have 32 teeth.” Let t = number of teeth

16. “I have less than 50 pennies in my bank.” Let p = number of pennies

17. “The national debt is more than three million dollars.” Let d=dollars in debt

18. Graphing them on a line graph

19. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

21. h is everthing except “3.”

22. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

24. Can we use the same methods for solving inequalities as we used for solving equations?

25. Yes, except for when we multiply or divide by a negative number.

26. What do we do when we multiply or divide by a negative number?

27. Switch the inequality sign.

28. Solving inequalities: examples Copy on your notes

29. -5 That’s legal. 33 That’s legal too. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

30. Then we write this in set builder notation:

31. +1 -4 That’s legal. That’s only legal if you switch the inequality sign. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

32. In set builder notation:

33. That’s only legal if you switch the inequality sign.

34. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 In set builder notation:

35. The End