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In Mathematics it is a type of set that has no elements. 
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The empty set is a set with no elements. It's shown as { } or ∅.
It could be used when there is no number fitting the given description...
                  e.g.: Find x if x is both odd and even.
Find x if x is both prime and composite.
Otherwise, zero is used..
                  e.g.: Find x:  x^{2} + 2 = 2
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