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.

My approach was, since range is the difference between maximum and minimum numbers we need to check whether the range of S can be computed.

Statement 1. w-z > 2, however we don't know that w is the max and and z is the minimum. So NOT Sufficient

Statement 2. NOT Sufficient

Combining both since z is the least number so we can assume either w is the maximum number or w is only greater than z and smaller than x and y. Thus, IMO both together are sufficient and hence, answer should be C.

However, the OA is A.

Can someone explain where I am making a mistake.

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