5.3 – Solving Multi-Step Inequalities

5.3 – Solving Multi-Step Inequalities

5.3 – Solving Multi-Step Inequalities

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

1. 5.3 – Solving Multi-Step Inequalities

2. *Just like solving equations*

3. *Just like solving equations* Example 1

4. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line.

5. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4

6. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x

7. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5

8. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4

9. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5

10. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x

11. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x >

12. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1

13. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1

14. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 0

15. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 1 0

16. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 1 0

17. *Just like solving equations* Example 1 - Solve 7x – 5 > 6x – 4 and graph on a number line. 7x – 5 > 6x – 4 -6x -6x x – 5 > -4 +5 +5 x > 1 1 0

18. Example 2

19. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9

20. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9

21. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9

22. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9

23. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m

24. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m <

25. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4

26. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m

27. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m

28. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m <

29. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4

30. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8

31. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m

32. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m >

33. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m<4 -8 -8 m>

34. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½

35. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½

36. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½ 0

37. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½ 0 -1½ -1 -½

38. Example 2 – Solve –m < -m + 4 and graph. 9 –m < -m + 4 9 9·–m < -m + 4·9 9 –9m < -m + 4 +m +m –8m < 4 -8 -8 m > -½ 0 -1½ -1 -½

39. Example 3

40. Example 3 – Define a variable and write an inequality for each problem. Then solve.

41. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35.

42. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35.

43. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x

44. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x

45. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x>

46. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x>

47. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x>35

48. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x>35 -4 -4

49. Example 3 – Define a variable and write an inequality for each problem. Then solve. The product of –4 and a number is at least 35. -4x>35 -4 -4 x<