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# Is x negative?

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Re: Is x negative? (1) y + x = -22 (2) y – x < -22 [#permalink]
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Is x negative?

(1) y + x = -22. Clearly insufficient: the sum of two numbers is negative: either both are negative or just one of them, but we don't know which one, since no info about y.

(2) y – x < -22. Also insufficient: no info about y.

(1)+(2) Substitute $$y=-x-22$$ from (1) into (2): $$(-x-22)-x<-22$$ --> rearrange and cancel -22 on both sides: $$2x>0$$ --> $$x>0$$, hence the answer to the question whether $$x$$ negative is NO. Sufficient.

Hope it's clear.
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Re: Is x negative? [#permalink]
Bumping for review and further discussion.
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Re: Is x negative? [#permalink]
dvinoth86 wrote:
Is x negative?

(1) y + x = -22
(2) y – x < -22

Statement 1) x depends on y and value of y is not specified -> So Insufficient.
Statement 2) x depends on y and value of y is not specified -> So Insufficient

Adding both the equations
2y < -44 => y < -22

As per the 1st equation, x > 0 to make the equation correct.
Sufficient.
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Re: Is x negative? [#permalink]
Nice question...
Combining the two statements we can say that X>0
hence C
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Re: Is x negative? [#permalink]
Is x negative?

(1) y + x = -22

Can't determine x or y individually. INSUFFICIENT.

(2) y – x < -22

Can't determine x or y individually. INSUFFICIENT.

(1&2)
y - x = -22
y - x < -22

Lets say x was 0.
y - 0 = -22
y - 0 < -22?
For y to be less than -22, x has to be > 0. SUFFICIENT.

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Re: Is x negative? [#permalink]
kinjiGC wrote:
Adding both the equations
2y < -44 => y < -22

I am confused here. Can we add the two like this? One is equation and second is inequality.
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Re: Is x negative? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is x negative? [#permalink]
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