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Page 1: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

To represent A x,x where is the universal set.

x

A

A x

ICSE - Class 8 - Mathematics

Chapter 2: Venn Diagrams (Lecture Notes)

Venn diagrams are illustrations to bring out relationships in sets and their use in

simple logical problems.

1

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Page 2: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

To represent two intersecting subset of a universal set.

A

x

B

(A B)

A

x

B

(A B)

A

x

B

(A -B)

A

x

B

(B - A) 2

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Page 3: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

To represent two intersecting subset of a universal set.

A

x

B

(A B)’

A

x

B

(A B)’

3

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Page 4: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

To represent two disjointed sets of a universal set

A

x

B

(A B)

A

x

B

(A B) = f

A

x

B

(A -B = A)

A

x

B

(B – A = B)

4

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Page 5: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

To represent two subsets A and B of a universal set such that A B x

A

x

B

(A B) = B

x

B

(A B) = A

A

A

x

B

(A -B) = f

x

B

(B - A)

A

5

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ase

go

to:

htt

ps:

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Page 6: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

To represent three intersecting subset of a universal set

A

xB

(A B C)

A

xB

(A B C)

A

xB

A (B C)

A

xB

A (BC)

C C

C C

6

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Page 7: ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams ... · PDF fileTo represent A x, x where is the universal set. x A A x ICSE - Class 8 - Mathematics Chapter 2: Venn Diagrams (Lecture

7

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go

to:

htt

ps:

//ic

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.co

m/