Modulus + Inequality

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TanmayShah: Newbie | Next Rank: 10 Posts; Posts: 6; Joined: Thu Nov 29, 2012 9:18 pm

by TanmayShah » Sat Apr 06, 2013 1:00 am

Data Sufficiency -
Is |x-z| > |x-y| ?

(1) |z| > |y|
(2) x < 0

What should be the general approach for such problems ?

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Source: Beat The GMAT — Sentence Correction | Sat Apr 06, 2013 1:00 am

aditya8062: Legendary Member; Posts: 774; Joined: Mon Jan 23, 2012 4:32 amFollowed by: 14 members; Thanked: 46 times

by aditya8062 » Sat Apr 06, 2013 6:41 am

my take wud be E .plz confirm the OA

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srcc25anu: Master | Next Rank: 500 Posts; Posts: 423; Joined: Fri Jun 11, 2010 7:59 amFollowed by: 2 members; Location: Seattle, WA; Thanked: 86 times

by srcc25anu » Sat Apr 06, 2013 10:39 am

is |x-z| > |x-y|?

1. |z| > |y|
if x = 5, y = 2, z = 6 |x-z| = 1 < |x-y| = 4 (not true)
if x = 5, y = 2 and z = 12, |x-z| = 7 > |x-y| = 4 (true)
Not SUfficient

2. x < 0
No info anout y and Z
Not SUfficient

Together:
if x = -5, y = -3, z = -6 |x-z| = 1 < |x-y| = 2 (not true)
if x = -5, y = -3 and z = -10, |x-z| = 5 > |x-y| = 2 (true)
Not SUfficient

hence E

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