Cambridge Additional Mathematics

12 Consider the sets U=fx 2 Z+:x 610 g, P=fodd numbers less than 10 g, and

Q=feven numbers less than 11 g.

a List the setsPandQ. b What can be said about setsPandQ?

c Illustrate setsPandQon a Venn diagram.

Review set 1B

#endboxedheading

1 True or false?

a N ½Q b 02 Z+ c 02 Q

d R μQ e Z+\Z¡=f 0 g

2aWrite using interval notation:

i the real numbers between 5 and 12

ii the integers between¡ 4 and 7 , including¡ 4

iii the natural numbers greater than 45.

b Which sets inaare finite and which are infinite?

3 List the subsets off 1 , 3 , 5 g.

4

a List the elements of:

i A ii A\B iii (A[B)^0

b Represent this information on a Venn diagram.

5 SandTare disjoint sets. n(S)=s and n(T)=t. Find:

a S\T b n(S[T)

6 For each of the following sets, determine whether the interval described is closed, open, or neither:

a x 2 (¡ 4 ,3] b x 2 [¡ 2 ,2] c x 2 R

7 SupposeAandBare each sets of points which define straight lines.

a Describe in words the meaning of:

i A\B ii A[B

b Is A\B necessarily finite? Explain your answer.

c If A\B is finite, what possible values can n(A\B) have?

8 Give an expression for the region shaded in:

a blue b red.

U

AB

C

Sets and Venn diagrams (Chapter 1) 33

Let U=fx 2 Z:0<x< 10 g, A=fthe even integers between 0 and 9 g, and

B=fthe factors of 8 g.

4037 Cambridge

cyan magenta yellow black Additional Mathematics

(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\CAM4037\CamAdd_01\033CamAdd_01.cdr Thursday, 3 April 2014 3:55:50 PM BRIAN