Question

Will give 5 stars and thank you answer this If U={ the set of whole numbers upto 10}, A={ 2,3,4,5,6,7,8} and B={ the set of prime numbers less than 10}, then show it in venn diagram.

Answer 1

Given:-

• U is the set of whole numbers less than 10.
• A = { 2,3,4,5,6,7,8} .
• B is the set of prime numbers less than 10.

To Find:-

• The Venn Diagram .

Answer:-

Its already given that set A = { 2 , 3 , 4 , 5, 6 , 7 , 8 } .

Given that U is the set of whole numbers upto 10.

Hence U = { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } .

Again it's given that B is the set of prime numbers less than 10 .

Hence B = { 2 , 3 , 5 , 7 }

[ For Venn Diagram refer to attachment : ]

________________________________________

More to know :- .

Here are some results for three sets A , B & C :

1) Commutative Law -

• A ⋃ B = B ⋃ A .
• A ⋂ B = B ⋂ A .
• A ∆ B = B ∆ A .

[ ∆ here stands for symmetric difference . ]

2) Associative Law -

• ( A ⋃ B ) ⋃ C = A ⋃ ( B ⋃ C ) .
• ( A ⋂ B ) ⋂ C = A ⋂ ( B ⋂ C ) .
• ( A ∆ B ) ∆ C = A ∆ ( B ∆ C ) .

3) Distributive Law -

• A ⋃ ( B ⋂ C ) = ( A ⋃ B ) ⋂ ( A ⋃ C )
• A ⋂ ( B ⋃ C ) = ( A ⋂ B ) ⋃ ( A ⋂ C )

4) Dé Morgan's Law -

• ( A U B ) ' = A' ⋂ B'.
• ( A ⋂ B ) ' = A' U B'.
• A - ( B U C ) = ( A - B ) ⋂ ( A - C ).
• A - ( B ⋂ C ) = ( A - B ) U ( A - C ).