Let S be an infinite set and S₁...Sₙ be sets such that S₁ ∪ S₂ ∪ ... ∪ Sₙ = S.…

GATE · 1993 · CS · Question 8 subparts

Let S be an infinite set and S₁...Sₙ be sets such that S₁ ∪ S₂ ∪ ... ∪ Sₙ = S. Then,

A.
at least one of the set Sᵢ is a finite set
B.
not more than one of the set Sᵢ can be finite
C.
at least one of the sets Sᵢ is an infinite set
D.
not more than oen of the sets Sᵢ can be infinite
E.
None of the above

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Correct answer: C

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