If A= {0 , 1 , 2 , 3 , 4 , 5} and B = {2 , 4 , 6 , 8 , 10}  then find $\displaystyle A\ \cup \ B\ and\ A\ \cap \ B$. Illustrate hem in venn diagram.

Given : 

A= {0 , 1 , 2 , 3 , 4 , 5}  ;   B = {2 , 4 , 6 , 8 , 10} 

To find :

We have to find $\displaystyle A\ \cup \ B\ and\ A\ \cap \ B$ and illustrate them in venn diagram.

Solution :

A= {0 , 1 , 2 , 3 , 4 , 5}

B = {2 , 4 , 6 , 8 , 10} 

$\displaystyle A\ \cup \ B$ is A Union B               [Combining the elements in A and B without repeating the elements]

$\displaystyle A\ \cup \ B$ = {0 , 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10}

$A\ \cap \ B$  is A intersection B                           [Common elements in A and B ]

$A\ \cap \ B$  = {2 , 4}

Venn diagram :

$\displaystyle A\ \cup \ B$ = {0 , 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10}

$A\ \cap \ B$  = {2 , 4}.

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Updated on: 10-Oct-2022

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