Question

If A ={ x : x = 2 to the power of n E W and n< 4} B = { x : x = 2n,n E N and n ≤4 and C = { 0,1,2,5,6}, then verify the associative property of intersection of sets.
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Answer 1

Answer:

Please Check Explanation !!!

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