HELP!!!! Don't Understand Statement 2!

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smclean23: Master | Next Rank: 500 Posts; Posts: 172; Joined: Mon Jun 23, 2008 12:00 pmFollowed by: 1 member; Thanked: 3 times

by smclean23 » Sun Sep 28, 2008 2:57 pm

If x and y are integers and x>0, is y>0?

1. 7x - 2y > 0

2. -y< x

OA is E.

I totally understand statement 1, but how do you solve for statement 2.

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Source: Beat The GMAT — Data Sufficiency | Sun Sep 28, 2008 2:57 pm

Morgoth: Master | Next Rank: 500 Posts; Posts: 316; Joined: Mon Sep 22, 2008 12:04 amFollowed by: 1 member; Thanked: 36 times

by Morgoth » Sun Sep 28, 2008 3:49 pm

Statement (2)

-y<x
y > -x
if x= 4
y > -4

y could be -2 or 4, since we have both the cases i.e. positive and negative. Insufficient.

Combining (1) & (2)
7x > 2y
7x/2 > y
y>-x

we get a range

-x < y < 7x/2
y can be negative as well as positive. Insufficient.

Thus, E is the answer.

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