Cambridge Additional Mathematics

24 Sets and Venn diagrams (Chapter 1)

USING VENN DIAGRAMS TO ILLUSTRATE REGIONS

We can use shading to show various sets on a Venn diagram.

For example, for two intersecting setsAandB:

Ais shaded A\Bis shaded B^0 is shaded A\B^0 is shaded

Example 7 Self Tutor

Shade the following regions for two intersecting setsAandB:

a A[B b A^0 \B c (A\B)^0

a

(inA,B, or both)

b

(outsideA, intersected withB)

c

(outsideA\B)

A B

U

A B

U

A B

U

AB

U

AB

U

AB

U

AB

U

A B

U

A B

U

A B

U

PRINTABLE

VENN DIAGRAMS

(DISJOINT)

PRINTABLE

VENN DIAGRAMS

(OVERLAPPING)

EXERCISE 1F.2

1 On separate Venn diagrams, shade regions for:

a A\B b A\B^0

c A^0 [B d A[B^0

e A^0 \B f A^0 \B^0

2 On separate Venn diagrams, shade regions for:

a A[B b (A[B)^0

c (A\B)^0 d A^0 [B^0

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

3 SupposeAandBare two disjoint sets. Shade on separate Venn

diagrams:

a A b B

c A^0 d B^0

e A\B f A[B

g A^0 \B h A[B^0

i (A\B)^0

cyan magenta yellow black

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_01\024CamAdd_01.cdr Thursday, 9 January 2014 10:33:44 AM BRIAN