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Discrete Mathematics QUESTION 1 Mark all statements that are correct. The empty

ID: 3195097 • Letter: D

Question

Discrete Mathematics

QUESTION 1 Mark all statements that are correct. The empty set, and only the empty set, has cardinality zero. The power set of the empty set is empty. The cartesian product Ax B is empty if A is empty or B is empty The empty set is a subset of every set. The empty set is a proper subset of every set. An intersection with the empty set is always empty. A union with the empty set is always empty. The empty set has no subsets. The empty set has no proper subsets For any universal set, the complement of the empty set is nonempty

Explanation / Answer

The correct statements are:

1.The empty set,and only the empty set has cardinality zero.

2.The cartesian product A X B is empty if A is empty or B is empty.

3. The empty set is a suubset of every set.

4.An intersection with the empty set is always empty.

5.The empty set has no proper subsets.

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