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If S is a set of four numbers w, x, y and z, is the range of the numbers in S greater than 2?
(1) w-z > 2 (2) z is the least number in S.
Please do explain your answer choice. Thanks
(1) w-z > 2. The range of a set is the difference between the largest and the smallest elements of the set, since the difference of some particular two numbers are already more than 2 then the the range must also be more than 2. Sufficient.
(2) z is the least number in S --> just says that from four unknowns z is the smallest one (obviously one of the unknowns would be the smallest one, what difference does it make to know that it's z?). Not sufficient.