please provide good answer. 1). Let S = { 1,2,3, …., n} for some positive integer...

please provide good answer.

1). Let S = { 1,2,3, …., n} for some positive integer n. Define the operations + and . on S as x + y = max{ x, y }, and x.y = min{ x, y }. Is it possible to make S into a Boolean algebra with these two operations? Explain your reasoning.

[ Note: max{ x, y } returns the maximum of the values x and y, and min{ x, y } returns the minimum of the values x and y. For example: max{3, 8} = 8, and min{ 3, 8 } = 3, and max{ 3, 3 } = min{ 3, 3 } = 3.]

Expert Solution

Colby Messinger answered 1 week ago

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