Set Theory and Algebra GATE 2014 Question #9946 with Solution

GATE 2014 · session-2

Engineering MathematicsSet Theory and AlgebramediumMCQ2 marks

Consider the following relation on subsets of the set S of integers between 1 and 2014. For two distinct subsets U and V of S we say U<V if the minimum element in the symmetric difference of the two sets is in U. Consider the following two statements: S1: There is a subset of S that is larger than every other subset. S2: There is a subset of S that is smaller than every other subset. Which one of the following is CORRECT?

ABoth S1 and S2 are trueBS1 is true and S2 is falseCS2 is true and S1 is falseDNeither S1 nor S2 is true

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