| 1. | ||
| a. Integers`={-3,4,11,57}` | b. Rational Numbers`={-3,4,1/5,11,3.14,57}` | c. Irrational Numbers`={0.25225222522225...}` |
| d. Real Numbers`={`All are real numbers`}` | e. Prime Numbers`={11}` | f. Composite Numbers`={4,57}` |
| 2. | ||
| a. Integers`={21,53}` | b. Rational Numbers`={5.bar17,-4.25,-1/4,21,53,0.45454545...}` | c. Irrational Numbers`={pi}` |
| d. Real Numbers`={`All are real numbers`}` | e. Prime Numbers`={53}` | f. Composite Numbers`={21}` |
| 3. `A={4,6,8,9,10}` | 4. `B={2}` | 5. `C={53,59}` | 6. `D={4}` |
| 7. `{2,4,6,8}` | 8. `{0,1,2,3}` | 9. `{3,5,7,9}` | 10. `{-1,0,3,8}` |
| 11. `{0,1,2,3}` | 12. `{2,4,6,8}` | 13. `{1,3}` | 14. `{1,3}` |
| 15. `{1,3}` | 16. `{O/}` | 17. `{0,2,4}` | 18. `{6,10}` |
| 19. `{0,1,2,3,4,5,11}` | 20. `{0,1,2,3,4,6,10}` | 21. `{1,3}` | 22. `{3}` |
| 23. `{O/}` | 24. `{0,1,2,3,4,5,6,10,11}` | 25. Assocative Property of Addition |
| 26. Commutative Property of Addition | 27. Identity Property of Multiplication | 28. Symmetric Property of Equality |
| 29. Reflexive Property of Equality | 30. Substitution Property of Equality | 31. Transitive Property of Equality |
| 32. Distributive Property | 33. Inverse Property of Addition | 34. Inverse Property of Multiplication |
| 35. Commutative Property of Addition | 36. Commutative Property of Multiplication | 37. Transitive Property of Equality |
| 38. Distributive Property | 39. `(-3a)/7` | 40. `(29a)/35` | 41. `(-7a)/20` | 42. `69/40a` | 43. `(-10)/21` |
| 44. `(-154)/231` | 45. `(-18)/5` | 46. `6/55` | 47. `(-2a)/15` | 48. `(1-6a)/2a` | 49a. `26/55` of the pool. |
| 49b. `(26x)/165` of the pool. | 50. `-25/4` | 51. `8/59` | 52. `(-5)/22` | 53. `3-2!=2-3` `\ \ \ \ \ \ \ \ \ \ \ \ \ \ 1!=-1` |
54. `1-:2!=2-:1` `\ \ \ \ \ \ \ \ \ \ \ \ 1/2!=2` |
| 55. `(7-4)-6!=7-(4-6)` `\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -3!=9` |
56. `(12-:4)-:2!=12-:(4-:2)` `\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3/2!=6` |
57. False | 58. True | 59. True | 60. False |
| 61. False | 62. False | 63. True | 64. False | 65. True | 66. True |
| 67a. `0.bar72` | 67b. `0.825` | 67c. `.bar285714` | 67d. `.bar135` | 68. `22/7` is closer | |
| 69. `(sqrt(x+9)-3)/x` is approaching `0.bar16` or `1/6` | 70. `(1/2-1/(x+2))/x` is approaching `0.25` or `1/4` | ||||
| 71. All the properties except Identity Property of Addition and the Inverse Properties. | 72. All the properties except for Inverse Property of Multiplication. | ||||
| 73. All the properties. | 74. All the properties except the Identity Properties. | 75a. `5+7` | 75b. `23+7` | 76. `3` and `5`, `5` and `7`, `11` and `13`, `17` and `19`, `41` and `43`. | |