True or False?

Decide if the following assertion is true or false?

"The empty set is always a subset of any another set"

Please write your Justification.

Not always False True

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1 solution

Otto Bretscher
Oct 22, 2015

By definition, A A is a subset of B B if every element of A A is an element of B B as well. If A A is the empty set, this is true, trivially, since there are no elements in A A .

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