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If set S consists of the numbers w, x, y, z is the range of

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If set S consists of the numbers w, x, y, z is the range of numbers in the S greater than 5?

(1) The range of any three numbers in the set S is greater than 5.

(2) The positive difference between any two numbers in set S is greater than 3.


Can someone explain? not satisfied with the explanation from Total GMAT MATH by Jeff scakmann

Thanks
[Reveal] Spoiler: OA
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If set S consists of the numbers w, x, y, z is the range of numbers in the S greater than 5?

(1) The range of any three numbers in the set S is greater than 5. The range of a subset is less than or equal to the range of the whole set. Therefore the range of S is greater than 5. Sufficient.

(2) The positive difference between any two numbers in set S is greater than 3. Say the numbers in ascending order are {w, x, y, z} --> the range = z-w. Given that z-y>3 and y-w>3. Add this two inequalities: (z-y)+(y-w)>3+3 --> z-w>6. Sufficient.

Answer: D.
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Re: If set S consists of the numbers w, x, y, z is the range of   [#permalink] 01 Nov 2015, 06:55
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