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The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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06 Apr 2018, 05:04
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The integers a, b, c, d, and e are all positive. If a > d, c > b, e > a, and b > e, what is the range of the five integers? A. a  e B. d  b C. c  a D. b  e E. c  d
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The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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06 Apr 2018, 20:27
Bunuel wrote: The integers a, b, c, d, and e are all positive. If a > d, c > b, e > a, and b > e, what is the range of the five integers?
A. a  e B. d  b C. c  a D. b  e E. c  d Write vertically, find greatest and smallestThis way is really easy a > d c > b e > a b > e Look for one variable on RHS only. It is NOT on LHS, thus NOT greater than any other. It is the smallest. d is on RHS only Nothing is smaller than d d is the smallest Reverse the process. Look for one variable on LHS only. It is NOT on RHS, thus NOT smaller than any other. It is the greatest. c is on LHS only Nothing is greater than c c is the greatest There is the range: (greatest  smallest) = (c  d) Answer E Reason through all values 1) a > d 2) c > b 3) e > a 4) b > e **** 1) a > d ____ ? Not much to work with 2) c > b, and b > e (#4). So c > b > e 3) e > a From #2 result, e is at the end Now a is on the end So c > b > e > a 4) b > e. Yeah, we knew that. Only #1 is not accounted for, a > d From results of #3: c > b > e > a  a > d  So c > b > e > a > d Range:(greatest  smallest) = (c  d) Answer E
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Re: The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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06 Apr 2018, 20:44
Try to mark the numbers on the numberline for better visualization. See the sketch .
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Re: The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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08 Apr 2018, 16:42
start with d and a relation on a number line. e,b,c goes right to a in that order.
range = rightmost  leftmost = cd
answer E



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Re: The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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08 Apr 2018, 21:29
So basically I did this: A > a a < A Then... e > a, b > e, and c > b So.... c > all a, e, b then c must be the biggest. and if a > d but a < e then d must be the smallest. E Sent from my iPhone using GMAT Club Forum mobile app



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Re: The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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15 Jun 2019, 22:58
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Re: The integers a, b, c, d, and e are all positive. If a > d, c > b, e >
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