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.

**Answers:**

● **Sets and Venn-diagrams Worksheets**

**● **Worksheet on
Elements Form a Set

**● **Worksheet to
Find the Elements of Sets

**● **Worksheet on
Properties of a Set

**● **Worksheet on
Sets in Roster Form

**● **Worksheet on
Sets in Set-builder Form

**● **Worksheet on
Finite and Infinite Sets

**● **Worksheet on
Equal Sets and Equivalent Sets

**● **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

**Math Home Work Sheets**

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