Worksheet on Venn Diagrams

In worksheet on Venn Diagrams we will solve 8 different types of questions on sets, to draw Venn Diagrams in different situations.

1. Draw Venn diagrams to represent

(a) Union of sets

(b) Intersection of sets

Write steps of construction also.

2. What set is represented by the shaded portion in the following Venn diagrams?

3. Read the Venn diagrams and answer the following.

(i) A

(ii) B

(iii) A

(iv) B'

(v) A ∪ B

(vi) A ∩ B

(vii) (A ∪ B)'

(viii) (A ∩ B)'

(ix) A - B

(x) B - A

(xi) ξ

4. In the adjoining Venn diagrams, find

(a) A U B

(b) A ∩ B

5. Draw the Venn diagrams to show the following relations.

(a) P ⊆ Q

(b) P ⊆ Q ⊆ ξ

(c) P ∩ Q = P

(d) P ∪ Q = Q

(e) P ∩ Q = ∅

(f) (P ∩ Q)' = ξ



6. If ξ = {x : x ∈ N, x < 20}

A = {x : x is an odd number, less than 20}

B = {x : x is a prime number, less than 20}

Draw a Venn diagram to show the relation between these sets. Use the Venn diagram to find

(a) A - B

(b) B'

(c) A ∪ B

(d) A ∩ B

(e) ξ ∩ A

(f) ξ ∩ B

7. From the adjoining Venn diagram, find

(a) A ∪ B

(b) B' ∪ A

(c) A - B

(d) B ∪ A'

(e) A'

(f) (A ∪ B)'

Is (A ∩ B)' = A' ∪ B'?

8. Draw Venn diagrams to show the relationship between the following pairs of sets.

(a) A = {The set of fruits in the basket}

B = {The set of vegetables in the basket}

(b) P = {x : x ∈ N, x < 9}

Q = {x : x ∈ I, -5 < x < 3}

(c) X = {Negative integers}

Y = {Positive integers}

(d) M = {All boys in the school}

N = {All boys in the class}

(e) C = {Prime factors of 12}

D = {All factors of 12}

Answers for worksheet on Venn Diagrams are given below to check the exact answer.

Sets and Venn-diagrams Worksheets

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Worksheet on Equal Sets and Equivalent Sets

Worksheet on Empty Sets

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Worksheet on Union and Intersection of Sets

Worksheet on Disjoint Sets and Overlapping Sets

Worksheet on Difference of Two Sets

Worksheet on Operation on Sets

Worksheet on Cardinal Number of a Set

Worksheet on Venn Diagrams