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Question

If two sets A and B have no common elements, i.e. AB has no elements, such sets are known as _____________.

A
Intersection
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B
Union
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C
Disjoint
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D
Complement
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Solution

The correct option is C Disjoint

If two sets A and B have no common elements, i.e. A∩B has no elements, such sets are known as Disjoint.

Two sets are said to be disjoint sets if they have no element in common. Equivalently, disjoint sets are sets whose intersection is the empty set.

Two sets A and B are disjoint if and only if their intersection A∩B is the empty set. It follows from this definition that every set is disjoint from the empty set and that the empty set is the only set that is disjoint from itself.


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