Question

A= {1,2,3,4}, B= {3,4,5,6} and C= {7,8,9,10} find A ∩(B U D).​

Answer 1

★ Given :

• A = { 1 , 2 , 3 , 4 }
• B = { 3 , 4 , 5 , 6 }
• C = { 7 , 8 , 9 , 10 }

★ To Find :

• A $\cap$ ( B $\cup$ C )

★ Answer :

First Finding “ ( B U C ) ”

➜ Union of two sets - In union , we take all the elements present in the both sets , but , there should not be any repetition .

➝ ( B U C ) = { 3 , 4 , 5 , 6 } U { 7 , 8 , 9 , 10 }

➝ ( B U C ) = { 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

Now Finding “ A ∩ ( B U D ) ”

➜ Intersection of two sets - In intersection , we take all the elements which are common in both the sets , avoiding the uncommon elements .

➝ A ∩ ( B U C ) = { 1 , 2 , 3 , 4 } ∩ { 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 }

➝ A ∩ ( B U C ) = { 3 , 4 }

This is the required answer !!