#7-18 all, 25-46 all, 54, and 55I'm sorry for all the questions I just hate paying 3 dollars per question. Thank you so much for all the help, I really appreciate it.
60 CHAPTER 2 The Nature of Sets In Problems 41-46, use set notation to identify the highlighted region. 6. Under what conditions is the following formula true? 42. U IX = UI - IXI 41. U Perform the given set operations in Problems 7-18. B Let U = ( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10). 7. a. (2, 6, 8 ) U {6, 8, 10) b. (2, 6, 8 ) 0 (6, 8, 10] c. {2, 6, 8} 43. U 44. U 8. a. (2, 5, 8 ] U {3, 6, 9) b. (2, 5, 8 ) n (3, 6, 9) C. {2, 8, 9} A B 9. a. {1, 2, 3, 4, 5} n (3, 4, 5, 6, 7} b. { 1, 2, 3, 4, 5) U {3, 4, 5, 6, 7} c. {1, 2, 3, 4, 5} 10. a. {1, 2, 5 } n (7, 9) 45. U 46. U b. {1, 2, 5 ] U 17, 9 c. {1, 2, 5, 7, 9} 11. {2, 4, 6, 8, 10} 12. { 1, 3 , 5 , 7 , 9 } 13. {x|x is a multiple of 2} U {x| x is a multiple of 3} 14. {x x is a multiple of 2} n {x|x is a multiple of 3 } Draw Venn diagrams for each of the relationships in 15. {x/ x is a multiple of 3 } U {x|x is a multiple of 5} Problems 47-52. 16. {x x is a multiple of 3} n {x x is a multiple of 5 } 47 . XUY 48. XNY 17. {x x is even} 49. Xnz 50. XUZ 18. {yly is odd} 51. Y 52 . Z Perform the given set operations in Problems 19-24. Level 2 19. {x x is a positive integer } U {x x is a negative integer} 20. {x/ x is a positive integer } {x x is a negative integer } 53. Montgomery College has a 50-piece band and a 36-piece orchestra. If 14 people are members of both the band and the 21. a. NUW b. Now orchestra, can the band and orchestra travel in two 40-passenger 22. a. U b. @ buses? 23. a. X n O for any set X b. X U O for any set X 24. a. UUP b. uno Let U = {1, 2, 3, 4, 5, 6, 7}, A = ( 1, 2, 3, 4), B = {1, 2, 5, 6}, and C = (3, 5, 7). List all the members of each of the sets in Problems 25-40. 25. A UB 26. AnB Cengage Learning 27. A UC 28. AnC 29. BNC 30. BUC 31. A 32. B 54. From a survey of 100 college students, a marketing research 33. C 34. U company found that 75 students owned iPods, 45 owned cars, and 35 owned both cars and iPods. 35. {x|x is greater than 4} a. How many students owned either a car or an ipod (but not 36. {yly is between 4 and 10} both ) ? b. How many students do not own either a car or an iPod? 37. {x x is less than 5} U {x x is greater than 5 } 55. In a survey of a TriDelt chapter with 50 members, 18 38. {x x is less than 5} n {x x is greater than 5 } were taking mathematics, 35 were taking English, and 6 were 39. OUA 40. On B taking both. How many were not taking either of these subjects