another mgmat toughie -absolute value on both sides

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kaps786: Senior | Next Rank: 100 Posts; Posts: 52; Joined: Sat Aug 13, 2011 8:34 am; Thanked: 2 times

by kaps786 » Sat Aug 13, 2011 12:00 pm

Hi all

In continuation to my previous post another MGMAT tough question - involving absolute value, for more than one variable.

What exactly is the takeaway, and how to solve these types, variety of ways welcomed - help please.

Is |a| + |b| > |a + b| ?

(1) a^2 > b^2

(2) |a| Ã— b < 0

OA below

OA -E

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Source: Beat The GMAT — Data Sufficiency | Sat Aug 13, 2011 12:00 pm

maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

by maihuna » Sat Aug 13, 2011 12:04 pm

|a| + |b| > |a + b| means a and b are of opposite sign as otherwise they should equal.

1. a^2 > b^2 nothing can be deduced about the sign of a and
2. since |a| > 0 |a|*b<0=> b<0 we still do not know whether a>0 or <0 so not suff

combining also nothing can be deduced abt sign of a and b so E.

kaps786 wrote:Hi all

In continuation to my previous post another MGMAT tough question - involving absolute value, for more than one variable.

What exactly is the takeaway, and how to solve these types, variety of ways welcomed - help please.

Is |a| + |b| > |a + b| ?

(1) a^2 > b^2

(2) |a| Ã— b < 0

OA below

OA -E

Charged up again to beat the beast

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