Explain why the empty set is a subset of every set

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Mathematics

Maximillian Charles

19 April, 19:52

Explain why the empty set is a subset of every set

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Dylan Hester · Answer 1

The set A is a subset of the set B if and only if every element of A is also an element of B. If A is the empty set then A has no elements and so all of its elements (there are none) belong to B no matter what set B we are dealing with. That is, the empty set is a subset of every set.