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Let P(x, y) = x has read y, L(x) = x is knowledgeable., where the domain of x is all people, and domain of y

Let P(x, y) = x has read y, L(x) = x is knowledgeable., where the domain of x is all people, and domain of y is all books in the library. Express the following using logical expressions.

(a) Some people has read all books in the library.

(b) Some book in the library has been read by all people.

(c) All knowledgeable people has read at least one book in the library.

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