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If cardinality of (A U B) = cardinality of A+ cardinality of B. This means ____________ a. B is a subset of A b. None of the mentioned c. A is a subset of B d. A and B are disjoint

Question

If cardinality of (A U B) = cardinality of A+ cardinality of B. This means ____________

a. B is a subset of A

b. None of the mentioned

c. A is a subset of B

d. A and B are disjoint

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Solution

d. A and B are disjoint

Explanation: The cardinality of (A U B) is equal to the cardinality of A plus the cardinality of B only when sets A and B are disjoint. This means that they do not have any elements in common. If there were common elements, then the cardinality of (A U B) would be less than the sum of the cardinalities of A and B, because the common elements would be counted twice in the sum.

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