Use complete sentences to describe why for any set B, that an empty set would be a subset of it

Question

Mathematics

Monica Bray

9 December, 16:46

Use complete sentences to describe why for any set B, that an empty set would be a subset of it

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Jade Haney · Answer 1

Empty set is a set with no element (the number of elements in the empty set is zero).

A set is subset set of another set B if it its elements belong also to subset B.

Because an empty set has no element its elements (there are none) belong to any set B. So the empty set is a subset of any set.

Example: Set A:The set of all people who can fly Set B:The set of all people.

There are no elements in the set A (no one has wings to fly), so set A is a subset of Set B.