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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  [#permalink]

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01 Sep 2013, 05:21
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Difficulty:

55% (hard)

Question Stats:

61% (01:32) correct 39% (01:13) wrong based on 213 sessions

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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
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Re: If set S consists of the numbers w, x, y, z is the range of  [#permalink]

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01 Sep 2013, 06:04
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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.

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Re: If set S consists of the numbers w, x, y, z is the range of  [#permalink]

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30 Nov 2018, 07:49
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Re: If set S consists of the numbers w, x, y, z is the range of   [#permalink] 30 Nov 2018, 07:49
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