Cambridge International Mathematics

678 ANSWERS

2ainXbut not inY

bthe complement of ‘in exactly one ofXandY’

c in at least 2 ofX,YandZ

3aA^0 bA^0 \B

c A^0 [B dA^0 \B^0

4aA bB^0

c B\C dA[C

eA\B\C f (A[B)\C

g(A[C)\B h(A\C)[B

i (A[B)^0 \C

5a

b

c

EXERCISE 2F

1a 26 b 20 c 25 d 5 e 7

2a 48 b 27 c 23 d 16 e 30

3

a 5 b 20 c 9

d 4 e 14

4

a 13 b 53 c 42

d 8 e 34

5 6 girls 6a 12 books b 14 books

7a 150 people b 150 people

8a 7 shops b 12 shops c 18 shops

9 14 cars 10 39 people attended 11 7%of them

121 worker uses both

13 a9% b91% c 58% d 72% e19%

147 women 15 a 11 of them b 65 of them

16 5 students

Review set 7B

1a 1 : 3 can be written as^1310 , and 13 , 10 are integers

b false c f 23 , 29 , 31 , 37 g

d The set of all realtsuch thattlies between¡ 1 and 3 ,

including¡ 1.

e fxj 0 <x 65 g f

2a

b A^0 =f 1 , 2 , 4 , 5 , 7 , 8 , 10 , 11 g cn(A^0 )=8 dfalse

3 ?,f 1 g,f 3 g,f 6 g,f 8 g,f 1 , 3 g,f 1 , 6 g,f 1 , 8 g,f 3 , 6 g,f 3 , 8 g,

f 6 , 8 g,f 1 , 3 , 6 g,f 1 , 3 , 8 g,f 1 , 6 , 8 g,f 3 , 6 , 8 g ( 15 of them)

4afalse bfalse

5a iA=f 1 , 2 , 3 , 4 , 5 g ii B=f 1 , 2 , 7 g

iii U=f 1 , 2 , 3 , 4 , 5 , 6 , 7 g

iv A[B=f 1 , 2 , 3 , 4 , 5 , 7 g v A\B=f 1 , 2 g

bin(A)=5 iin(B)=3iiin(A[B)=6

U

A B

U

A B

U

A B

U

A B

U

A B

C

U

A B

C U

A B

C

U

A B

C U

A B

C

U

A B

C

U

A B

C U

A B

C

U

A B

C

representsA\B

represents(A\B)^0

representsA^0

representsB^0

whole shaded region isA^0 [B^0

AB

A B

representsA[B

representsA[C

represents

(A[B)\(A[C)

U

A B

C

representsB\C

representsA

whole shaded region represents

A[(B\C)

A B

C

representsA

representsB[C

representsA\(B[C)

representsA\B

representsA\C

whole shaded region represents

(A\B)[(A\C)

U

A B

C

C

A B

U

FB

() (^9) () 6
() 4
() 5
U
CP
() (^34) () 11
() 5
() 8
-2 (^3) x
U
1
11
A
A'
4
7
3 6 9
12
2
(^108)
5
IB MYP_3 ANS
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100 100
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Y:\HAESE\IGCSE01\IG01_an\678IB_IGC1_an.CDR Tuesday, 18 November 2008 2:35:17 PM PETER