Exercise Set 5.2: Number of Elements in a Set W State the number of elements in each of the 18 n (A U B)" followmg' sets. 0 . . . 19. n (A n B) 1. The set of d1g1ts used 1n phone numbers. ' 2. The set ofmonths in the year in the 20. n(Ac u Be) Western calendar. 3. The set of counting numbers less than 20. suppose that MU) = 200 , "(E U F) = 194 , 4. The set of even counting numbers between "(E) = 106 9 and "(E n Fc) = 73 Find each 7 and 25' of the following values. F Suppose that: 21 n( ) U ={x Ix is a letter in the English alphabet} 22' "(E n F ) A={h,0'u,s't,n} 23. B={c,0,u,g,a,r,s} 24 "(EUF) D={f, 0, t, b, a, 1} 25 n(EoF) Find each of the following values. 26 n (E c n F) 5. n(AnB) 27. n(Ech) G numb? 28. n(Ech) 7. n (B u D) Answer the following. 8. n (B n D) 29. A survey of 150 fannhes showed that 85 9. n (A n D) . families owned dogs, 68 owned cats and 21 owned both dogs and cats. How many of 10' n (A U D) the families that were surveyed owned: 11 "(Ac) A. Only dogs? 12 "(Bc) B. Only cats? C. Neither dogs nor cats? Suppose am "(In = 150' MA) = 78 ' 30 T h dred 11 md t ked - - wo un co ege 3 en 3 were as "(In - 64 ' and "(A n B) ' 27 Find eaCh or where they buy their lunches. The results the following WIRES showed that 84 students buy their lunches la n (A U B) in the food court in the university center, 101 students buy their lunches from a food 14. n(A n B c) truck and 28 students buy their lunches L c from both. Based on the survey, how many 15 "(A n B) students buy lunch: is dg U B) A. Only from the food court? B On], x '7 W. "(A U Bc ) y from food trucks. @ Somewhere other than the food court or the food: truck?3. The choices for problem numbeQrom the book are given below. a. 17 b. 12 c. 8 d. 10 e. 14 4. The choices for problem numb r 16Birom the book are given below. a. 59 ' b. 99 c. 84 d. 57 e. 78 5. The choices for problem numb r 24N 'rom the book are given below. a. 33 Xu b. 194 " c. 124 d. 6 e. 54 6. The choices for problem numbfiplart b from the book. How many buy lunch from only the food truck? X a. 28 b. 40 ' c. 56 ' . x ' i d. 73 ' ' ' e. 112 xw, 7 - fig/d- / " i. . . at '- :.'i'm:H'xl'il'il'il*il'il'llilIiEi"UA.",1.-1;'5Fl.w.l'1i'l ' ' -' J'UU'U'U'U'U'WU'W'UUUUUilill '-r'-"-' 'Math 1313 Homework 14 Section 5.2 7. The choices for problem numb r 30 part c rom the book. How man food court or the food truck? y buy lunch other than the a. 185 b. 43 c. 30 d. 15 e. 157 Use the following problem to answer questions 8 - 10. I The 120 consumers were asked about their buying preferences concernlng a product that 15 sold in the market under three labels. The results were: 12 buy only those sold under label A, 25 buy only those sold under label B, 26 buy only those sold under label C, 15 buy only those sold under labels A and B, 10 buy only those sold under labels A and C, 12 buy only those sold under labels B and C and 8 buy the product sold under all three labels. 8. How many of the consumers surveyed buy the product sold under Label C? a. 25 b. 31 . 37 e. 56 9. Hwy of the consumers surveyed buy at most one of these labels? a. 5 b. 108 c. 22 d. 87 e. 45 10. How many of the consumers surveyed buy the product sold under two labels only? a. 45 20 c. 37 d. 63 e. 12