Question: Consider the set B = [0, 1] R, and define two operations +, as follows: a, b B (Note: + and here are not the

Consider the set B = [0, 1] R, and define two operations +, as follows: a, b B

(Note: + and here are not the ordinary addition and multiplication in R.) Prove (B, +, ) is not a Boolean algebra.

a + b = max(a, b)

a b = min(a, b).

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