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Statement (1) by itself is insufficient. Consider S=(0,1) , T=(1,2) (the answer is "no") and S=(0,1) , T=(2,3) (the answer is "yes").
Statement (2) by itself is sufficient. The range of the combined set equals the range(S) plus the range(T) plus the difference between the smallest element in T and the largest element in S . Thus, the range of the combined set will always be bigger than the sum of ranges of sets S and T .
The correct answer is B.
My question is: can set S and set T have only 1 element each [strike]and can these elements be equal[/strike](already answered below)?
Last edited by Igor010 on 26 Feb 2010, 10:37, edited 1 time in total.
can set S and set T have only 1 element each and can these elements be equal? >> No. If this is the case then both the statements will become false. As the statements explicitly say that one is bigger than other, means those are not equal even if the set has one element.