Cambridge International Mathematics

ANSWERS 679

6a

biP\Q=f 2 g iiP[Q=f 2 , 3 , 4 , 5 , 6 , 7 , 8 g

iii Q^0 =f 1 , 3 , 5 , 7 , 9 , 10 g

cin(P^0 )=6 iin(P\Q)=1iii n(P[Q)=7

dtrue

7aThe shaded region is the complement ofX, i.e., everything

not inX.

bThe shaded region represents ‘in exactly one ofXorYbut

not both’.

cThe shaded region represents everything inXor in neither

set.

8

109 took part

Review set 8A

1a ifalse iifalse b 0 :51 =^5199 , and 51 , 99 are integers

cftjt 6 ¡ 3 ort> 4 g d

2

3a b

c

4aA\B=f 1 , 2 , 3 , 6 g

bA[B=f 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 g

5a

biA^0 =f 1 , 4 , 6 , 8 , 9 , 10 g iiA\B=f 3 , 5 , 7 g

cifalse iitrue di 4 ii 5 iii 6

6a b

c

7

Area shaded is the same in each case.

8

x=5

) 5 were members of

all 3 clubs

EXERCISE 3A.1

1ax=¡ 11 b x=¡ 3 cx=¡ 7 d x=¡ 3

ex=5 f x=9 gx=1 h x=¡ 5

i x=¡ 2 j x=3 kx=¡ 112 l x=¡ 6

2ax=11 b x=¡ 512 cx=¡ 4 d x=3^12

ex=1 f x=11 gx=¡ 6 h x=11

i x=¡^12 j x=¡ 2 kx=4 l x=¡ 9

3ax=28 b x=¡ 15 cx=¡ 16 d x=¡ 12

ex=19 f x=¡ 11 gx=10 h x=24

4ax=¡ 512 b x=¡ 3 cx=17 d x=¡ 7

ex=3 f x=8^12

EXERCISE 3A.2

1ax=9 b x=¡ 12 cx=1 d x=¡ 2

ex=2^23 f x=¡ 3

2ax=¡ 3 b x=6 cx=2 d x=3

ex=2 f x=1

3ax=6 b x=¡ 3 cx=1^15 d x=¡ 3

ex=¡ 312 f x=¡ 4

4ax=3 b x=2 cx=2 d x=6^12

ex=1 f x=6

5ax=0 b x=2 cx=3 d x=3

ex=¡ 1 f x=¡^79 gx=¡ 5 h x=6

i x=3^12 j x=^23 kno solution

l infinite number of solutions (true for allx)

U

P Q

3

5

2

4

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Y:\HAESE\IGCSE01\IG01_an\679IB_IGC1_an.CDR Thursday, 20 November 2008 4:06:40 PM PETER