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

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 172
Joined: Mon Jun 23, 2008 12:00 pm
Thanked: 3 times
Followed by:1 members

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

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.

User avatar
Master | Next Rank: 500 Posts
Posts: 316
Joined: Mon Sep 22, 2008 12:04 am
Thanked: 36 times
Followed by:1 members

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.