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The empty set is the one that contains nothing at all.
The universal set contains everything.
Those are oversimplified definitions, but provide a good place to start.
When we talk about things in sets, we call the things contained in the sets elements. So we can be more precise and say the empty set is a unique set with no elements.
The universal set contains all elements INCLUDING itself.
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What are the two example of empty sets?
There is only one empty set - the universal empty set. It is a set that contains no elements. It is usually denoted by { } or the Greek letter phi = Φ (not pi = π).
What the universal set and a subset?
It is the set of all elements we are considering or dealing with in a given problem. We use a capital U or sometimes capital E to mean the universal set. Now take ANY two sets, A and B. If every single element of set A is contained in set B, we say A is a subset of B. The empty set is a subset of every set. Every set in contained in the universal set, so they are all subset of it.
Is an empty set a subset of every set?
Yes,an empty set is the subset of every set. The subset of an empty set is only an empty set itself.
What isan empty set?
The empty set is a set that has no elements.
What will be the representation of subset of a empty set?
The only subset of an empty set is the empty set itself.
