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If all the elements in a set X are in a set Y, but all the elements of Y are not in X, then X is :

  • A.Union set
  • B.Power set
  • C.Proper subset
  • D.Empty set

Answer: C

X is a Proper subset of Y.

If every element of X is in Y, X is a subset of Y. If, in addition, Y has some element not in X, the two sets are not equal, and X is a proper subset, written \(X \subset Y\).

A union set combines two sets; a power set is the set of all subsets of a set; the empty set has no elements at all. None of these describes the stated relationship.

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