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# The distance from point X to point Y is 24 miles, and the distance fro

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
The distance from point X to point Y is 24 miles, and the distance fro  [#permalink]

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01 Aug 2017, 13:40
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Question Stats:

74% (01:01) correct 26% (01:15) wrong based on 29 sessions

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The distance from point X to point Y is 24 miles, and the distance from point X to point Z is 8 miles. If d is the distance, in miles, between points Y and Z, then the range of possible values for d is indicated by

(A) 8 < d < 24
(B) 8 < d < 32
(C) 12 ≤ d ≤ 24
(D) 16 ≤ d ≤ 32
(E) 16 < d < 32

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Manager
Joined: 11 Feb 2017
Posts: 188
The distance from point X to point Y is 24 miles, and the distance fro  [#permalink]

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01 Aug 2017, 13:57
Bunuel wrote:
The distance from point X to point Y is 24 miles, and the distance from point X to point Z is 8 miles. If d is the distance, in miles, between points Y and Z, then the range of possible values for d is indicated by

(A) 8 < d < 24
(B) 8 < d < 32
(C) 12 ≤ d ≤ 24
(D) 16 ≤ d ≤ 32
(E) 16 < d < 32

Let

Z-----------X---------------Y
-------------d---------------

d=24+8 = 32

Z------------Y---------------X
------d------

d = 24-8 =16

Hence D
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Re: The distance from point X to point Y is 24 miles, and the distance fro  [#permalink]

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01 Aug 2017, 22:09
Bunuel wrote:
The distance from point X to point Y is 24 miles, and the distance from point X to point Z is 8 miles. If d is the distance, in miles, between points Y and Z, then the range of possible values for d is indicated by

(A) 8 < d < 24
(B) 8 < d < 32
(C) 12 ≤ d ≤ 24
(D) 16 ≤ d ≤ 32
(E) 16 < d < 32

......................................32........................................
Z........8.........X...........................24.............................Y
X........8.........Z...........................16.............................Y

16 ≤ d ≤ 32

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Re: The distance from point X to point Y is 24 miles, and the distance fro   [#permalink] 01 Aug 2017, 22:09
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