7-18,25-4654,55

6. Under what conditions is the following formula true? IXI = 1UI - IXI In Problems 41-46, use set notation to identify the highlighted region. 41. U Perform the given set operations in Problems 7-18. 42. U 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 ) n (6, 8, 10) C. {2, 6, 8} 8. a. (2, 5, 8 ] U (3, 6, 9) b. (2, 5, 8 ] n ( 3, 6, 9) 43. U 44. U c. {2, 8, 9} 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) b. {1, 2, 5] U (7, 9) 45. U 46. U 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. {xx 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 xis even} 49. Xnz 50. XUZ 18. {ylyis odd} 51. Y 52. Z Perform the given set operations in Problems 19-24. Level 2 19. {x(x is a positive integer} U {xx is a negative integer } 20. {x|x is a positive integer } n {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. une 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 54. From a survey of 100 college students, a marketing research 31. A 32. B company found that 75 students owned iPods, 45 owned cars, 34. U and 35 owned both cars and iPods. 33. C a. How many students owned either a car or an iPod (but not 35. {x x is greater than 4} both)? b. How many students do not own either a car or an iPod? 36. {yly is between 4 and 10} 37. {xx is less than 5} U {x x is greater than 5 } 55. In a survey of a TriDelt chapter with 50 members, 18 were taking mathematics, 35 were taking English, and 6 were 38. {x x is less than 5 } n {xx is greater than 5} taking both. How many were not taking either of these 40. On B subjects? 39. OUA