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# Is y = 0 or y > 0 ?

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Director
Joined: 31 Oct 2013
Posts: 652
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Is y = 0 or y > 0 ?  [#permalink]

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21 Apr 2018, 17:01
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Difficulty:

25% (medium)

Question Stats:

85% (01:29) correct 15% (01:20) wrong based on 37 sessions

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Is y = 0 or y > 0 ?

(1) x + y ≥ 5
(2) x – y ≤ 5
Director
Joined: 02 Oct 2017
Posts: 654
Re: Is y = 0 or y > 0 ?  [#permalink]

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21 Apr 2018, 17:06
I and II alone are not sufficient.

Multiply second equation by negative sign so that both equations have same inequality sign.

It comes out y=zero

C

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Intern
Joined: 24 Jan 2013
Posts: 10
Re: Is y = 0 or y > 0 ?  [#permalink]

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21 Apr 2018, 21:22
What about x=5 , y=1 satisfies both equations

Should be E

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PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Re: Is y = 0 or y > 0 ?  [#permalink]

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21 Apr 2018, 21:42
jubinder wrote:
What about x=5 , y=1 satisfies both equations

Should be E

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Yes, it will satisfy and as per your example you are getting $$y>0$$ and this is what the question is asking

Statement 1: $$x + y ≥ 5$$, two variable, one inequality, hence values cannot be calculated. Insufficient

Statement 2: $$x – y ≤ 5$$, again two variables, one inequality, hence values cannot be calculated. Insufficient

Combining 1 & 2: Multiply equation (2) by $$-1$$ to get $$-x + y ≥ -5$$. Now Add the two equations to get

$$2y≥0=>y≥0$$. Hence Sufficient.

Option C
Intern
Joined: 24 Jan 2013
Posts: 10
Re: Is y = 0 or y > 0 ?  [#permalink]

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21 Apr 2018, 21:45
Whether y=0 OR y>0?

Since y can be both y =0 or y>0 we cannot tell
So marked E pls clarify

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PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1216
Location: India
GPA: 3.82
Re: Is y = 0 or y > 0 ?  [#permalink]

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21 Apr 2018, 21:54
jubinder wrote:
Whether y=0 OR y>0?

Since y can be both y =0 or y>0 we cannot tell
So marked E pls clarify

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Hi jubinder

Is $$y=0$$ or $$y>0$$. Note this is "Is" type question that is you need a Definite "yes" or "no". If you are getting "may be yes" or "may be no". Then the statements are Insufficient

In this case if y=0, we have a "Yes" and/or if y>0, then also we have a "Yes". Hence on combining both the statements you get y=0 or y>0 where in either case you will get a Definite "Yes"
Re: Is y = 0 or y > 0 ? &nbs [#permalink] 21 Apr 2018, 21:54
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