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Re: If x, y and z are non-zero integers [#permalink]
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We only know that the integers are non-negative. Hence, we don't know how the sign may change. Only D option is the correct one.

A: If y is negative, then it is false
B: If z is negative, then it is false
C: If x is positive and yz is negative, then it cannot be larger than 1.
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Re: If x, y and z are non-zero integers [#permalink]
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Non-zero integers are ( ...-3,-2,-1,123...)
How is the option D correct?
because, in the question stem x>yz
if we divide both sides by -1, then inequality flips i.e. x<yz
Aagin, if we divide both sides by 1, the inequality x>yz holds .
Please help me out from this quagmire !
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Re: If x, y and z are non-zero integers [#permalink]
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Do not scratch your head. You are right.

The stem should say: which of the following cannot be true.
All the answer choice are true but D

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Re: If x, y and z are non-zero integers [#permalink]
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So far my realization, the stem is correct and the solution is d. x,y,z non zero integers it means it includes negative as well as positive. for option a,b,c there will be a change in sign direction if we consider negative numbers. But option d is correct. x> yz / yz<x same thing.
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Re: If x, y and z are non-zero integers [#permalink]
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Carcass wrote:
Do not scratch your head. You are right.

The stem should say: which of the following cannot be true.
All the answer choice are true but D

Regards


Carcass can you please help me about few things regarding this question

1: For option A if we say that y is a negative integer then x>(-y)(z)...... X/-y<z but for option A we have to find x/y relation with Z, not X/-y relation ,, so multiplying both side with negative 1 (in X/-y<z) again turn is like x/y>-z (here my question is ,, doing all these over and over is right or not )

2: how D can't be true ,, isn't x> yz or yz<x are the same things ?
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Re: If x, y and z are non-zero integers [#permalink]
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The post is locked.

The question is bogus.

D is impossible.

Moreover, the question has ONLY the first three answer choices. D is NOT among those. It was added for errors to the original question by the student.

The discussion is located here https://gre.myprepclub.com/forum/if-x-y-an ... tml#p47808

refer to it for the real question and solution provided.

regards
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Re: If x, y and z are non-zero integers [#permalink]
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