###### Asked in ATP

ATP

# What is a super set in tennis?

## Answer

###### Wiki User

###### October 19, 2011 5:46AM

A standard Tennis Set as we know is a race to 6 games played to a 2-game advantage or more typically a tie-break. The ITF rulebook includes no alternative set-scoring method other than the "short set" to 4 in Appendix IV. However, extended sets have been used for many tournaments, some with a race to 8 and some a race to 9. Typically any set prescribed beyond 6 games is a superset used in lieu of playing multiple sets to win matches. The 8-game pro-set is commonly used in many US amateur leagues, high school tennis and college doubles tennis tourneys.The World Team Tennis event plays a race-to-9-games.Both race-to-8 and race-to-9 are commonly used supersets.

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### Is empty set super set?

No, an empty set can't be the super set.
The definition of super set is as follows:
If A and B are sets, and every element of A is also an element
of B, then B is the super set of A, denoted by B ⊇ A.
Another way to interpret this is A ⊆ B, which means that "A is
the subset of B".
Suppose that ∅ is the super set. This implies:
∅ ⊇ A [Which is not true! Contradiction!]
Remember that ∅ and {∅} are two different sets. If we have {∅},
then there exists an element that belongs to that set since ∅ is
contained in that set. On the other hand, ∅ doesn't have any
element, including ∅.
Therefore, an empty set can't be the super set.