inequality!

This topic has expert replies
Source: — Data Sufficiency |

Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Thu Jun 16, 2011 7:19 am
Hi,
From(1): 4x=3y
if x=3, y=4 then x<y
if x=-3, y=-4 then x>y
Not sufficient

From(2): |y - x| = x - y
So, (x-y) >= 0
Not sufficient

Both(1)&(2): (x-y) cannot be zero.
So, x-y>0
Sufficient

Hence, C
Cheers!

Things are not what they appear to be... nor are they otherwise

Senior | Next Rank: 100 Posts
Posts: 47
Joined: Thu Jun 16, 2011 8:55 am
Location: San Francisco, CA
Thanked: 4 times

by phoenix111 » Thu Jun 16, 2011 1:21 pm
AnkitK wrote:If xy ≠ 0, is x > y?

(1) 4x = 3y

(2) |y - x| = x - y
Answer : B
2nd Statement is sufficient.

| y - x | = x - y

will give 2 solutions
x = y
and 0 = 0.

Since x = y , so x is not greateer than y.

Senior | Next Rank: 100 Posts
Posts: 52
Joined: Wed May 18, 2011 8:48 pm
Thanked: 4 times

by newgmattest » Fri Jun 17, 2011 12:34 am
Hi GMAT Experts,

Please help here.

Thanks.

Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Fri Jun 17, 2011 12:59 am
phoenix111 wrote:
AnkitK wrote:If xy ≠ 0, is x > y?

(1) 4x = 3y

(2) |y - x| = x - y
Answer : B
2nd Statement is sufficient.

| y - x | = x - y

will give 2 solutions
x = y
and 0 = 0.

Since x = y , so x is not greateer than y.
Hi,
| y - x | = x - y means x-y >= 0
x=y is just one of the solutions
Take, x=2, y=1, | y - x | = |1-2| = 1 = x - y
So, x-y >= 0 is not sufficient to say check whether x-y > 0. So, we need both statements.
Cheers!

Things are not what they appear to be... nor are they otherwise

Senior | Next Rank: 100 Posts
Posts: 47
Joined: Thu Jun 16, 2011 8:55 am
Location: San Francisco, CA
Thanked: 4 times

by phoenix111 » Fri Jun 17, 2011 1:10 pm
Frankenstein wrote:
phoenix111 wrote:
AnkitK wrote:If xy ≠ 0, is x > y?

(1) 4x = 3y

(2) |y - x| = x - y
Answer : B
2nd Statement is sufficient.

| y - x | = x - y

will give 2 solutions
x = y
and 0 = 0.

Since x = y , so x is not greateer than y.
Hi,
| y - x | = x - y means x-y >= 0
x=y is just one of the solutions
Take, x=2, y=1, | y - x | = |1-2| = 1 = x - y
So, x-y >= 0 is not sufficient to say check whether x-y > 0. So, we need both statements.
ohh yes !! Thanks...thats silly of me.