Cambridge International Mathematics

Sets (Chapter 2) 65

5

Q,Z, andN are all subsets of R.

a

b Place these numbers on the Venn diagram:

1

2 ,

p

2 , 0 : 3 ,¡ 5 , 514 , 0 , 10 , and

0 : 2137005618 :::::which does not terminate or recur.

c True or false? i N μZ ii ZμQ iii N μQ

d Shade the region representing the set of irrationalsQ^0.

6 Show the following information on a Venn diagram:

a U=ftrianglesg, E=fequilateral trianglesg, I=fisosceles trianglesg

b U=fquadrilateralsg, P=fparallelogramsg, R=frectanglesg

c U=fquadrilateralsg, P=fparallelogramsg, R=frectanglesg, H=frhombusesg

d U=fquadrilateralsg, P=fparallelogramsg, T=ftrapeziag

e U=ftrianglesg, I=fisosceles trianglesg, R=fright angled trianglesg,

E=fequilateral trianglesg

7 Suppose U=fxjx 630 ;x 2 Z+g,

A=fprime numbers 630 g,

B=fmultiples of 5630 g

and C=fodd numbers 630 g:

Use the Venn diagram shown to display the

elements of the sets.

THE UNION OF TWO SETS

A[B denotes theunionof setsAandB.

This set contains all elements belonging toAorB

or bothAandB.

A[B=fxjx 2 Aor x 2 Bg

A[Bis shaded green.

THE INTERSECTION OF TWO SETS

A\B denotes theintersectionof setsAandB.

This is the set of all elements common to both sets.

A\B=fxjx 2 A and x 2 Bg

A\Bis shaded red.

E UNION AND INTERSECTION [9.4]

AB

U

AB

C

Suppose the universal set is , the set of

all real numbers.

U=R

Copy the given Venn diagram and label

the sets ,UQZN, , and on it.

AB

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Y:\HAESE\IGCSE01\IG01_02\065IGCSE01_02.CDR Thursday, 11 September 2008 11:04:15 AM PETER