|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|