1. Solving Inequalities

2. Exploring Inequalities PhraseSymbolExamples is less than

3. Exploring Inequalities PhraseSymbolExamples is less than<

4. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000

5. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to

6. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤

7. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000

8. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000 is greater than

9. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000 is greater than>

10. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000 is greater than>1 > 0, 100 > 10

11. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000 is greater than>1 > 0, 100 > 10 is greater than or equal to

12. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000 is greater than>1 > 0, 100 > 10 is greater than or equal to≥

13. Exploring Inequalities PhraseSymbolExamples is less than<1 < 2, 100 < 1000 is less than or equal to≤1 ≤ 2, 2 ≤ 2, 100 ≤ 1000 is greater than>1 > 0, 100 > 10 is greater than or equal to≥1 ≥ 0, 1 ≥ 1, 100 ≥ 10

14. Graph the solution of an inequality on a number line for t > 4: 0 1 2 3 4 5 6 7 8 9 10

15. Graph the solution of an inequality on a number line for t > 4: Use an open circle if the inequality is > or < : 0 1 2 3 4 5 6 7 8 9 10

16. Graph the solution of an inequality on a number line for t > 4: Shade the direction which includes all possible answers. 0 1 2 3 4 5 6 7 8 9 10

17. Graph the solution of an inequality on a number line for y ≤ 8: 0 1 2 3 4 5 6 7 8 9 10

18. Graph the solution of an inequality on a number line for y ≤ 8: Use a closed circle if the inequality is ≥ or ≤: 0 1 2 3 4 5 6 7 8 9 10

19. Graph the solution of an inequality on a number line for y ≤ 8: Shade the direction which includes all possible answers. 0 1 2 3 4 5 6 7 8 9 10

20. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 6x + 1 = 6

21. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6

22. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5

23. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5

24. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 0x – 3 = 0

25. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0

26. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3

27. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3

28. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 5x + 1 = 5

29. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5

30. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5x = 4

31. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5x = 4x ≤ 4

32. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5x = 4x ≤ 4 2x ≥ 42x = 4

33. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5x = 4x ≤ 4 2x ≥ 42, 3, 4, 5, 6, 7, 8, 92x = 4

34. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5x = 4x ≤ 4 2x ≥ 42, 3, 4, 5, 6, 7, 8, 92x = 4x = 2

35. Complete the Table InequalityWhole number solutions of the inequality EquationSolution of equation Solution of inequality x + 1 < 60, 1, 2, 3, 4x + 1 = 6x = 5x < 5 x – 3 > 04, 5, 6, 7, 8, 9x – 3 = 0x = 3x > 3 x + 1 ≤ 50, 1, 2, 3, 4x + 1 = 5x = 4x ≤ 4 2x ≥ 42, 3, 4, 5, 6, 7, 8, 92x = 4x = 2x ≥ 2

36. Solve and Graph each inequality 3x > 6 ≤ 12 x – 5 < 8 x + 7 ≥ 10

37. Solve and Graph each inequality 3x > 6 x > 2 0 1 2 3 4 5 6 7 8 9 ≤ 12 x – 5 < 8 x + 7 ≥ 10

38. Solve and Graph each inequality 3x > 6 ≤ 12 x ≤ 24 18 19 20 21 22 23 24 25 x – 5 < 8 x + 7 ≥ 10

39. Solve and Graph each inequality 3x > 6 ≤ 12 x – 5 < 8 x < 13 9 10 11 12 13 14 15 16 x + 7 ≥ 10

40. Solve and Graph each inequality 3x > 6 ≤ 12 x – 5 < 8 x + 7 ≥ 10 x ≥ 3 0 1 2 3 4 5 6 7 8

41. Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend.

42. Write an inequality to represent the situation:

43. Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150

44. Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 What operation should you use to isolate the variable?

45. Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 What operation should you use to isolate the variable? Division

46. Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 ≤

47. Example: Six friends go to a restaurant. They have a gift certificate for $150. They plan to share it equally and spend no additional money. Write an inequality to describe how much each friend can spend. Write an inequality to represent the situation: 6x ≤ 150 ≤ x ≤ $25

48. Graphing Inequalities InequalityGraph x < 5 x ≤ 5 x > 5 x ≥ 5