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  3. question 1 5 pts check all true statements o for...

Question: question 1 5 pts check all true statements o for...

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Question 1 5 pts Check all true statements. O For all sets A, B, the cardinality of A x B is the sum of the cardinalities of A and B. For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B D The cartesian product is associative, i.e. (Ax B)x C A,B,C, Both sets are equal to A x B x C. Ax (B x C) for all sets O The cartesian product is symmetric, i.e. A x B-B x A for all sets A, B. For all sets A, B, the power set of the cartesian product of A and B is the cartesian product of the power sets of A and B. O The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C, then B = C. O If A (1,2) and B (3) then A x B(1,3), (2,3)) O If A (1,2) and B (3) then A x B 1,3), 2,3)). O The cartesian product has a cancellation property, i.e. if Ax B Ax C for some sets A, B, C and A nonempty, then B = C.

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