456 Answers
cd
ef
gh
ij
kl
EXERCISE 1G
1a 7 b 14 c 14 d 7 e 5 f 9
2ab+c b c+d c b
da+b+c e a+c+d f d
3a i 2 a+4 ii 4 a+4 iii 3 a¡ 5 iv 5 a¡ 1
bia=6 iia=^325
Since a 2 N, there cannot be 31 elements inU, but it is
possible to have 29 elements.
5a 15 b 4 6a 18 b 6 7a 7 b 23
EXERCISE 1H
1a
bi 9 ii 3 iii 3
2a
bi 4 ii 2
3 13 players 420 people
5a b i 16
ii 33
iii 14
iv 7
6a 29 b 6 c 1 d 11
7a 3 b 5 c 5 d 21
8a 3 b 4 c 9
REVIEW SET 1A
1aS=f 3 , 4 , 5 , 6 , 7 g b 5 c 31
2ayes byes c no dyes
3aX^0 =forange, yellow, green, blueg
b X^0 =f¡ 5 ,¡ 3 ,¡ 2 , 0 , 1 , 2 , 5 g
c X^0 =fx 2 Q:x>¡ 8 g
d X^0 =fx 2 (¡1,¡3)[[1,4]g
4afx 2 R:¡ 26 x< 3 g, neither
b fx 2 R:x< 3 g, open
5a b
6a b
c
7a ifs,p,r,i,n,g,b,o,k,w,a,t,e,u,cg
iifr,b,kg iii fg,i,n,o,p,sg
bifthe letters in ‘springbok’ or ‘waterbuck’g
iifthe letters common to both ‘springbok’ and
‘waterbuck’g
iii fthe letters in ‘springbok’ but not ‘waterbuck’g
c
U
M
N
U
M
N
U
M
N
AB
U
s
p
n g
i
o
r
b
k
w
t
u
a
e
c
d
f
h
j l m q v
x
y
z
U
AB
C U
AB
C
U
AB
C U
AB
C
U
AB
C U
AB
C
LH Br
U
(3) (2) (6)
(3)
R Umb
U
(4) (5) (3)
(2)
U
BC
P
(1)
(3)
(2) (17)
(16) (5)
(5)
(14)
U
AB
C U
AB
C
U
AB
C U
AB
C
y
O x
y=2x
y
x
O
y=x
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100 IB HL OPT
Sets Relations Groups
Y:\HAESE\CAM4037\CamAdd_AN\456CamAdd_AN.cdr Tuesday, 8 April 2014 8:17:32 AM BRIAN