Solved examples on Venn diagram are discussed here.

**From the adjoining Venn diagram, find the following sets.**

(i) A

(ii) B

(iii) ξ

(iv) A'

(v) B'

(vi) C'

(vii) C - A

(viii) B - C

(ix) A - B

(x) A ∪ B

(xi) B ∪ C

(xii) A ∩ C

(xiii) B ∩ C

(xiv) (B ∪ C)'

(xv) (A ∩ B)'

(xvi) (A ∪ B) ∩ C

(xvii) A ∩ (B ∩ C)

**Answers for examples on Venn diagram are given below:**

(i) **A**

= {1, 3, 4, 5}

(ii) **B **

= {4, 5, 6, 2}

(iii) **ξ**

= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

(iv) **A'**

= {2, 6, 7, 8, 9, 10} **all elements of universal set leaving the elements of set A. **

(v) **B'**

= {1, 3, 7, 8, 9, 10} **all elements of universal set leaving the elements of set B. **

(vi) **C’** = To find

C = {1, 5, 6, 7, 10}

Therefore, C' = {2, 3, 4, 8, 9} **all elements of universal set leaving the elements of set C. **

(vii) **C - A**

Here C = {1, 5, 6, 7, 10}

A = {1, 3, 4, 5}

then C – A = {6, 7, 10} **excluding all elements of A from C. **

(viii) **B - C**

Here B = {4, 5, 6, 2}

C = {1, 5, 6, 7, 10}

B - C = {4, 2} **excluding all elements of C from B. **

(ix) **B - A**

Here B = {4, 5, 2}

A = {1, 3, 4, 5}

B - A = {6, 2} **excluding all elements of A from C. **

(x) **A ∪ B**

Here A = {1, 3, 4, 5}

B = (4, 5, 6, 2}

A ∪ B = {1, 2, 3, 4, 5, 6}

(xi) **B ∪ C**

Here B = {4, 5, 6, 2}

C = {1, 5, 6, 7, 10}

B ∪ C = {1, 2, 4, 5, 6, 7, 10}

(xii) **(B ∪ C)'**

Since, B ∪ C = {1, 2, 4, 5, 6, 7, 10}

Therefore, (B ∪ C)' = {3, 8, 9}

(xiii) **(A ∩ B)' **

A = {1, 3, 4, 5}

B = {4, 5, 6, 2}

(A ∩ B) = {4, 5}

(A ∩ B)' = {1, 2, 3, 6, 7, 8, 9, 10}

(xiv) **(A ∪ B) ∩ C**

A = {1, 2, 3, 4}

B = {4, 5, 6, 2}

C = {1, 5, 6, 7, 10}

A ∪ B= {1, 2, 3, 4, 5, 6}

(A ∪ B) ∩ C = {1, 5, 6}

(xv) **A ∩ (B ∩ C) **

A = {1, 3, 4, 5}

B = {4, 5, 6, 2}

C = {1, 5, 6, 7, 10}

B ∩ C = {5, 6}

A ∩ (B ∩ C) = {5}

● **Set Theory**

**● ****Finite Sets and Infinite Sets**

**● ****Problems on Intersection of Sets**

**● ****Problems on Complement of a Set**

**● ****Problems on Operation on Sets**

**● ****Venn Diagrams in Different
Situations**

**● ****Relationship in Sets using Venn
Diagram**

**● ****Union of Sets using Venn Diagram**

**● ****Intersection of Sets using Venn
Diagram**

**● ****Disjoint of Sets using Venn
Diagram**

**● ****Difference of Sets using Venn
Diagram**

**8th Grade Math Practice**

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