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# Are the two nonzero integers x and y on opposite sides of 0 on the num

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Re: Are the two nonzero integers x and y on opposite sides of 0 on the num [#permalink]
anairamitch1804 wrote:
fameatop wrote:
SUNGMAT710 wrote:
Are the two nonzero integers x and y on opposite sides of 0 on the number line?
(1) The sum of x and y is 0.
(2) The product of x and y is less than 0.

Statement 1
It is given that x & y are non-zero.
x+y = 0
x=-y
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Statement 2
xy < 0
This indicates that x & y are on opposite sides of 0 on the number line
Sufficient

Great Solution, Can we do this problem by number plugging as well?

1. sum of X and y is 0 -only possible when x and Y have opposite sign and equal in value (as in question stem it is given x and y are non zero , else we can have one more possibility x=y=0)..
lets take few examples 2 + 2 = not equals 0
-2 + (-2) , again not equals 0 ..
-2 + 2 , yes ...both must have opposite sign.

2.
product of two number will be less than 0 only when one number is negative and one positive...
2*1 =2
-2*-1 =2
-2 * 1 = -2--yes

So D..
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Re: Are the two nonzero integers x and y on opposite sides of 0 on the num [#permalink]
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anairamitch1804 wrote:
Great Solution, Can we do this problem by number plugging as well?

Dear anairamitch1804,

I'm happy to respond. I see that sobby already demonstrated a picking-numbers solutions.

I will just caution you to be careful about relying too heavily on picking numbers. This is a problem that is very easy with number sense. I would say that, by far, the most important thing to appreciate about this problem is the number-sense perspective. In that sense, a picking-numbers solution is almost a distraction from what's most important. Here, picking numbers is relatively straightforward, but number sense is a much more powerful perspective that will help you in a larger number of problems.
See this post:
Number Sense for the GMAT

Does all this make sense?
Mike
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Re: Are the two nonzero integers x and y on opposite sides of 0 on the num [#permalink]
mikemcgarry wrote:
anairamitch1804 wrote:
Great Solution, Can we do this problem by number plugging as well?

Dear anairamitch1804,

I'm happy to respond. I see that sobby already demonstrated a picking-numbers solutions.

I will just caution you to be careful about relying too heavily on picking numbers. This is a problem that is very easy with number sense. I would say that, by far, the most important thing to appreciate about this problem is the number-sense perspective. In that sense, a picking-numbers solution is almost a distraction from what's most important. Here, picking numbers is relatively straightforward, but number sense is a much more powerful perspective that will help you in a larger number of problems.
See this post:
Number Sense for the GMAT

Does all this make sense?
Mike

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Re: Are the two nonzero integers x and y on opposite sides of 0 on the num [#permalink]
Are the two nonzero integers x and y on opposite sides of 0 on the number line?
Statement 1 : x+y = 0
or, x=-y
This indicates that x & y are on opposite sides of 0 on the number line (x & y are non-zero.) Sufficient

Statement 2 : xy < 0
This indicates that x & y are on opposite sides of 0 on the number line Sufficient

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Re: Are the two nonzero integers x and y on opposite sides of 0 on the num [#permalink]
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Re: Are the two nonzero integers x and y on opposite sides of 0 on the num [#permalink]
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