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Sets Revision of terms

U. i. A. B. g. d. Sets Revision of terms. h. a. f. c. b. e. A = = { a,b,d,c,h } B = = { f,c,e,h } AUB = = { a,d,b,c,h,f,e } A B = = { c,h }. A’ = = { f,e,i,g } B’ = = { d,a,b,i,g } (AUB)’ = = { i,g } (A B)’ = = { a,b,d,i,g,f,e }. Cardinal Number. U. X. Y.

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Sets Revision of terms

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  1. U • i A B • g • d SetsRevision of terms • h • a • f • c • b • e A = = {a,b,d,c,h} B = = {f,c,e,h} AUB = = {a,d,b,c,h,f,e} A B = = {c,h} A’ = = {f,e,i,g} B’ = = {d,a,b,i,g} (AUB)’ = = {i,g} (A B)’ = = {a,b,d,i,g,f,e}

  2. Cardinal Number U X Y #X = 11 17 5 3 22 #(XUY)’ = 3 #Y = 16 #(XY)’ = 31 #XUY = 33 #U = 36 #XY = 5

  3. Question 1 page 85 • {2,8] • {1,2,8] • {3,7} • = {1} • = {12,13} • = {14,15} • AΩBΩC = • AΩB = • A\(BUC) = • AΩB\C • C\(AUB) • (A U B U C)’ A B • 3 • 5 • 1 • 9 • 7 • 10 • 2 • 8 • 6 • 4 • 11 • 13 • 12 • 14 C • 15

  4. Q485 study French, 60 study English, 25 study German .18 study both French and English, 10 study both French and German, 8 study both English and German. 5 study all three languages. Always start in the very middle F G E

  5. Q5A survey was taken of 54 students, each of whom was studying one or more of the 3 subjects A, B, C 6 students studied B and C 5 Studied A and C 3 times as many students studied A and B as studied all 3 20 students altogether studied B 17 studied C only and 14 studied A only A B C

  6. Q7A survey of 100 people were asked which paper they read 29 people read A 40 people read B 38 people read C 10 people read A and B but not C 12 people read B and C but not A 7 people read A and C but not B 30 people did not read any of the papers A A B B C C

  7. Q8 #U = 50 #B = 16 find the value of x and y B = y + x + 5 16 = y + x + 5 y = 11 – x 5 + 6 + 3 + 2 + 7 x + y + 4x = 50 y + 5x = 27 11 – x + 5x = 27 4x = 16 x = 4 A A B B [5] [3] [y] [2] [6] [x] [4x] [7] C C

  8. Q944 students studying History, Geography and/or Art 28 study History 30 study Geography 22 study Art 6 study History only 15 study both History and Geography. 3 study all three students H G A

  9. P = 1, 2, 3, 4, 6, 12 Q = 1, 3, 9 P Q • 12 • 2 • 1 • 4 • 3 • 6 9

  10. (b) 100 students asked about social networking sites A, B and C 24 were on A only 40 were on B 50 on C 14 on A and B but not C 8 on B and C but not A 4 were not on any A B C

  11. 2007 P1 Q2(c) 40 students asked whether they had a CD, MP3 or digital camera 1 student owns none x own all 3 2x own MP3 and a camera but not a CD 10 own MP2 and CD 11 own a camera and CD 22 own MP3 22 own a camera 24 own a CD player CD MP3 Camera

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