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x<0<y
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25 Dec 2018, 16:54
25 Dec 2018, 16:54
1
Expert Reply
00:00
Question Stats:
67% (00:57) correct
32% (01:03) wrong based on 199 sessions
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\(x<0<y\)
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.
Quantity A |
Quantity B |
\(-2(x+y)\) |
\(- xy\) |
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: x<0<y
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26 Dec 2018, 22:40
26 Dec 2018, 22:40
2
Expert Reply
Carcass wrote:
\(x<0<y\)
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.
Quantity A |
Quantity B |
\(-2(x+y)\) |
\(- xy\) |
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.
With the timer showing that almost all 11 have got this wrong, let me give an explanation why it should be D..
\(x<0<y\)..
This tells us that x is negative and y is positive, but we cannot say anything about |x| and |y|
A = -2(x+y) and B is -xy
Let us take two examples ..
(1) if |x|>|y|
Say x is -10 and y is 1...
Then -2(x+y)=-2(-10+1)=-2*-9=18=A
And B = -xy=-(-10*1)=10
So A>B
(2) if |x|=|y|
Say x is -2 and y is 2
Then A=-2(-2+2)=0 and B=-(-2*2)=4.
So A<B
Therefore different answers..
D
Re: x<0<y
[#permalink]
18 Sep 2020, 03:15
18 Sep 2020, 03:15
3
Multiply both sides by by -1, we get
Quantity A: 2(x+y)
Quantity B: xy
Quantity B is always less than 0 since x <0 and y >0, where as Quantity A can be greater than or less than zero dependent upon values of x and y.
Therefore, answer is D
Quantity A: 2(x+y)
Quantity B: xy
Quantity B is always less than 0 since x <0 and y >0, where as Quantity A can be greater than or less than zero dependent upon values of x and y.
Therefore, answer is D
