## Discussion Forum

Que. | 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? |

a. | Both S1 and S2 are true |

b. | S1 is true and S2 is false |

c. | S2 is true and S1 is false |

d. | Neither S1 nor S2 is true |

Answer:Both S1 and S2 are true |