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# If |x/y| < 1, then which of the following must be true?

Author Message
Intern
Joined: 20 Nov 2017
Posts: 28
Location: India
GRE 1: Q158 V150
GPA: 3.9
WE: Consulting (Consumer Electronics)
If |x/y| < 1, then which of the following must be true?  [#permalink]

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10 Jul 2018, 04:05
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:36) correct 29% (01:17) wrong based on 7 sessions

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If $$|\frac{x}{y}| < 1$$, then which of the following must be true?

I. $$\frac{|x+1|}{|y+1|} < 1$$
2. $$\frac{|x^2+1|}{|y^2+1|} < 1$$
3. $$\frac{|x-1|}{|y-1|} < 1$$

A. I only
B. II only
C. III only
D. I & II only
E. II & III only
Math Expert
Joined: 02 Sep 2009
Posts: 52296
Re: If |x/y| < 1, then which of the following must be true?  [#permalink]

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10 Jul 2018, 04:10
1
Karthik200 wrote:
If $$|\frac{x}{y}| < 1$$, then which of the following must be true?

I. $$\frac{|x+1|}{|y+1|} < 1$$
2. $$\frac{|x^2+1|}{|y^2+1|} < 1$$
3. $$\frac{|x-1|}{|y-1|} < 1$$

A. I only
B. II only
C. III only
D. I & II only
E. II & III only

Discussed here: https://gmatclub.com/forum/if-x-y-1-the ... 43411.html
_________________
Re: If |x/y| < 1, then which of the following must be true? &nbs [#permalink] 10 Jul 2018, 04:10
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