# Worksheet on Intersection of Sets

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Worksheet on Intersection of Sets

**1.Write down the elements of :**

i. A ii. B iii. A ∪ B iv. A ∩ B v. B – A

**2. Name, in terms of A and B, the following sets :**

1. {1,2,3,4 } 2. {1,2,3,4,5,6,7 } 3. {2,3,5,6,7} 4. {2,3} 5. {1,4}

**3. Using set symbols, write down expressions for the shaded portion in the following Venn diagrams :**

**4.In each of the diagrams given, shade the region which represents the set given below the diagram.**

1) | 2) |

Name the law of the set algebra that can be deduced from these shaded regions.

**5. If A = { a,b,c,d}, B = { b,c,d,e};draw a Venn diagram to represent**

1. A ∪ B 2. A’ ∩ B’ 3. A – B 4. A – (A∩ B)

**6. A and B are two sets such that A ∩ B ≠ Φ. Draw a Venn Diagram to represent the relation between A and B and shade (A ∪ B)**

**7. If ξ = { 1,2,3,4,5,6,7,8,9}**

A = { 2,4,7,9} B = { 1,5,7}

Use Venn diagram to verify :

A = { 2,4,7,9} B = { 1,5,7}

Use Venn diagram to verify :

1.( A∪B)’ = A’ ∩B’ 2. (A ∩ B)’ = A’ ∪ B’ 3. A ∩ B = B – (A ∩ B).

**8. A and B are two sets such that A ∩ B ≠ Φ**

a. Draw a Venn diagram to represent the relation between A and B and shade (A∪B)’

b. Re-draw the Venn diagram and shade A’ ∩ B’

c. Write down the relation between (A ∪ B)’ and A’ ∩ B’

**9. A and B are the subsets of the universal set. If n (A’) = 15, n(B) = 5, n(A∩B) = 3 and n ξ = 30, find using Venn diagram:**

1. n(A) 2. N(A ∪ B) 3. N(B’ – A’ )

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