Question

If A = { x:x =2n,n belongs W and n <4} B={x:x=2n,n belongs N and n is greater and equal to 4 C={0,1,2,5,6} then verify the associative property of intersection of sets

Answer 1

Answer:

Step-by-step explanation:

A={0,2,4,6}

B={8,10,12...)

C={0,1,2,5,6}

To prove

A∩( B∩C)=(A∩B)∩C

B∩C={}

SO

A∩( B∩C)={0,2,4,6} ∩  { { }  = { }

Now

A∩B={ }

and

(A∩B)∩C={ }

hence

A∩( B∩C)=(A∩B)∩C

hence prove