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 :
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’ )
Worksheet on Intersection of sets

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