22 CHAPTER R Review of Basic Concepts Identify each set as finite or infinite. Then determine whether 10 is an element of the set. See Example 1. 11. 54, 5, 6, c , 156 12. 51, 2, 3, 4, 5, c , 756 13. E1, 1 2 , 1 4 , 1 8 , cF 14. 54, 5, 6, c6 15. 5x x is a natural number greater than 116 16. 5x x is a natural number greater than or equal to 106 17. 5x x is a fraction between 8 and 96 18. 5x x is an even natural number6 Use set notation, and list all the elements of each set. See Example 2. 19. 512, 13, 14, c , 206 20. 58, 9, 10, c , 176 21. E1, 1 2 , 1 4 , c , 1 32F 22. 53, 9, 27, c , 7296 23. 517, 22, 27, c , 476 24. 574, 68, 62, c , 386 25. 5x x is a natural number greater than 8 and less than 156 26. 5x x is a natural number not greater than 46 Insert ∈ or ∉ in each blank to make the resulting statement true. See Examples 1 and 2. 27. 6 53, 4, 5, 66 28. 9 52, 3, 5, 9, 86 29. 5 54, 6, 8, 106 30. 13 53, 5, 12, 146 31. 0 50, 2, 3, 46 32. 0 50, 5, 6, 7, 8, 106 33. 536 52, 3, 4, 56 34. 556 53, 4, 5, 6, 76 35. 506 50, 1, 2, 56 36. 526 52, 4, 6, 86 37. 0 ∅ 38. ∅ ∅ Determine whether each statement is true or false. See Examples 1–3. 39. 3∈52, 5, 6, 86 40. 6∈52, 5, 8, 96 41. 1∈511, 5, 4, 3, 16 42. 12∈518, 17, 15, 13, 126 43. 9∉58, 5, 2, 16 44. 3∉57, 6, 5, 46 45. 52, 5, 8, 96 = 52, 5, 9, 86 46. 53, 0, 9, 6, 26 = 52, 9, 0, 3, 66 47. 55, 8, 96 = 55, 8, 9, 06 48. 53, 7, 12, 146 = 53, 7, 12, 14, 06 49. 5x x is a natural number less than 36 = 51, 26 50. 5x x is a natural number greater than 106 = 511, 12, 13, c6 Let A = 52, 4, 6, 8, 10, 126, B = 52, 4, 8, 106, C = 54, 10, 126, D= 52, 106, and U= 52, 4, 6, 8, 10, 12, 146. Determine whether each statement is true or false. See Example 3. 51. A⊆U 52. C⊆U 53. D⊆B 54. D⊆A 55. A⊆B 56. B⊆C 57. ∅⊆A 58. ∅⊆∅ 59. 54, 8, 106⊆B 60. 50, 26⊆D 61. B⊆D 62. A⊆C
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