Which one of the following is not true about the empty set?
- Empty set is the sub set of itself
- Empty set is not the sub set of every set
- The intersection with any set is empty set
- Empty set is the sub set of every set
Explanation
Empty set is, in fact, a subset of every set, including itself, because the definition of a subset allows the empty set to be considered a subset of any set.
The intersection of the empty set with any set is always the empty set, making statements about it true.
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