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xy < 0
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09 Aug 2017, 15:30
09 Aug 2017, 15:30
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Question Stats:
80% (00:39) correct
19% (00:44) wrong based on 327 sessions
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\(xy < 0\)
Quantity A |
Quantity B |
| x + y | |
|x| + |y| |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: xy < 0
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16 Oct 2017, 00:05
16 Oct 2017, 00:05
This is the so called triangular inequality which states that \(|x+y|\leq|x|+|y|\). Thus, the answer is B or C.
Since xy < 0 it must be that either x or y are negative. Thus, in this case it is impossible to have an equality for whatever number we fit in the equation. E.g. x = 1, y = -2; then, \(|1-2|\leq|1|+|-2|\) which becomes \(1<3\).
Thus, the answer is B
Since xy < 0 it must be that either x or y are negative. Thus, in this case it is impossible to have an equality for whatever number we fit in the equation. E.g. x = 1, y = -2; then, \(|1-2|\leq|1|+|-2|\) which becomes \(1<3\).
Thus, the answer is B
Re: xy < 0
[#permalink]
07 Feb 2018, 00:55
07 Feb 2018, 00:55
3
xy<0, in here when x is negative, y will be positive. When x is positive, y will be negative.
Q.A | x + y |
Q.B |x| + |y|
Q.B will be greater because it sums up two positive numbers.
So, B is the answer.
Q.A | x + y |
Q.B |x| + |y|
Q.B will be greater because it sums up two positive numbers.
So, B is the answer.
