Explain why the empty set is a subset of every set

Question

Eric Skinner

Mathematics

24 March, 16:35

Explain why the empty set is a subset of every set

+4

Answers (1)

Know the Answer?

Lorelei · 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.