5.3 – Solving Multi-Step Inequalities - PowerPoint PPT Presentation

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5.3 – Solving Multi-Step Inequalities

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  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

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

  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 <

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

  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

  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 <

  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

  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

  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>

  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

  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

  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 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

  40. Example 3

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

  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.

  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>

  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

  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

  50. 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<