Question: S = { 1 , 2 , 4 , 8 } . Define + and as in exercise 2 and define x = 8 /

S ={1,2,4,8}. Define + and as in exercise 2 and define x
=8/x.
Prove that it is not a Boolean algebra.
Let Sn ={1,2,..., n}. Define
x + y = max{x, y}, x y = min{x, y}.

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