Cambridge International Mathematics

68 Sets (Chapter 2)

Example 9 Self Tutor

On separate Venn diagrams, shade the region representing:

a inAor inBbut not in both b A^0 \B

abWe look for where the outside of

Aintersects (overlaps) withB.

Example 10 Self Tutor

Verify that (A[B)^0 =A^0 \B^0.

this shaded region is(A[B)

) this shaded region is(A[B)^0

representsA^0

representsB^0

representsA^0 \B^0

(A[B)^0 andA^0 \B^0 are represented by the same regions, verifying that

(A[B)^0 =A^0 \B^0.

EXERCISE 2E.2

1 On separate Venn diagrams like the one given, shade the region representing:

a not inA b in bothAandB

c A\B^0 d in eitherAorB

e A[B^0 f (A[B)^0

g (A\B)^0 h in exactly one ofAorB:

2 Describe in words, the shaded region of:

abc

3 IfAandBare two non-disjoint sets, shade the region of a Venn diagram representing:

a A^0 b A^0 \B cd

U

AB

U

AB

U

X Y

U

X Y

U

X Y

Z

U AA BB

U AB

U

AB

A^0 [BA^0 \B^0

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Y:\HAESE\IGCSE01\IG01_02\068IGCSE01_02.CDR Tuesday, 7 October 2008 12:47:38 PM PETER