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  • 3. If A=x:x=2", ne Wand n<4), B = x: x = 2n, n E N and n < 4 andC = 0,1,2,5,6), then verify the associative property of intersection of sets.?

3. If A=x:x=2", ne Wand n<4), B = x: x = 2n, n E N and n < 4 andC = 0,1,2,5,6), then verify the associative property of intersection of sets.?

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Solution: we have,

A=x:x=2^n ,n<4 and A=2,4,8

B=x:x=2n ,n<4 ,B=2,4,6

C=0,1,2,5,6 

Associative property

\Rightarrow Acap (Bcap C)=(Acap B)cap (Acap C)\ Rightarrow Phi =Phi

 

Posted by

Deependra Verma

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