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Updated on: 06 Jul 2014, 11:39
Originally posted by goodyear2013 on 06 Jul 2014, 11:10.
Last edited by Bunuel on 06 Jul 2014, 11:39, edited 1 time in total.
Last edited by Bunuel on 06 Jul 2014, 11:39, edited 1 time in total.
Edited the question.
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If \(x\leq{4}\) and \(y\geq{10}\), what is the range of the numbers in the set {5, 8, x, y}?
(1) 3x + 5y = 72
(2) -7x + 7y = 56
(1) 3x + 5y = 72
(2) -7x + 7y = 56
From Kaplan Premier P800 Q4
06 Jul 2014, 11:47
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If \(x\leq{4}\) and \(y\geq{10}\), what is the range of the numbers in the set {5, 8, x, y}?
The range is the difference between the largest and smallest elements of a set. Since we know that \(x\leq{4}\) and \(y\geq{10}\), then the range of {x, 5, 8, y} is y - x.
(1) 3x + 5y = 72. If x = 0 < 4 and y = 72/5 > 10, then the range is 72/5 - 0 but if x = 1 < 4 and y = 69/5 > 10, then the range is 69/5 - 1. Not sufficient.
(2) -7x + 7y = 56 --> reduce by 7 and re-arrange: y - x = 8. Sufficient.
Answer: B.
The range is the difference between the largest and smallest elements of a set. Since we know that \(x\leq{4}\) and \(y\geq{10}\), then the range of {x, 5, 8, y} is y - x.
(1) 3x + 5y = 72. If x = 0 < 4 and y = 72/5 > 10, then the range is 72/5 - 0 but if x = 1 < 4 and y = 69/5 > 10, then the range is 69/5 - 1. Not sufficient.
(2) -7x + 7y = 56 --> reduce by 7 and re-arrange: y - x = 8. Sufficient.
Answer: B.
14 Aug 2021, 00:55
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We want to know the range of the set:
This will be the difference between the Max Value - Minimum Value
We are told that given the set of 4 values, X is the MIN and Y is the MAX
What is the value of: Y - X = ?
S1: since we are not told whether X or Y must be an Integer, the solution set of values {X , Y} that satisfy the equation is infinite.
The 2 variables can take an infinite number of values that will satisfy the equation together, as there are an infinite number of values on the number line between any two points.
S1 not sufficient to find a unique answer
S2:
-7x + 7y = 56
Divide by 7 on each side of the equation
-x + y = 8
Y - X = 8 = Range of Set
B S2 sufficient alone
Posted from my mobile device
This will be the difference between the Max Value - Minimum Value
We are told that given the set of 4 values, X is the MIN and Y is the MAX
What is the value of: Y - X = ?
S1: since we are not told whether X or Y must be an Integer, the solution set of values {X , Y} that satisfy the equation is infinite.
The 2 variables can take an infinite number of values that will satisfy the equation together, as there are an infinite number of values on the number line between any two points.
S1 not sufficient to find a unique answer
S2:
-7x + 7y = 56
Divide by 7 on each side of the equation
-x + y = 8
Y - X = 8 = Range of Set
B S2 sufficient alone
Posted from my mobile device
