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The area of the region described....

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Senior Manager
Senior Manager
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Joined: 02 Mar 2017
Posts: 271
Location: India
Concentration: Finance, Marketing
The area of the region described.... [#permalink]

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New post 21 Apr 2017, 21:52
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

40% (00:11) correct 60% (02:39) wrong based on 5 sessions

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The area of the region described by the inequality |x|+|y|=<3 is

A)9
B)18
C)27
D)15
E)12
[Reveal] Spoiler: OA

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P
Status: Learning
Joined: 20 Dec 2015
Posts: 1130
Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: 314 Q157 V157
GPA: 3.4
WE: Manufacturing and Production (Manufacturing)
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Re: The area of the region described.... [#permalink]

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New post 21 Apr 2017, 23:39
i got it wrong .
Failed to consider negative signs of the variable .
Please provide official explanation.
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We are more often frightened than hurt; and we suffer more from imagination than from reality

Senior Manager
Senior Manager
User avatar
G
Joined: 02 Mar 2017
Posts: 271
Location: India
Concentration: Finance, Marketing
The area of the region described.... [#permalink]

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New post 22 Apr 2017, 00:43
arvind910619 wrote:
i got it wrong .
Failed to consider negative signs of the variable .
Please provide official explanation.




The equation can be
X + Y =< 3 -----FIRST QUADRANT
-X + Y =< 3-----SECOND QUADRANT
-X - Y =<3------THIRD QUADRANT
X - Y =<3------FOURTH QUADRANT

THEY MAKE UP A SQUARE WHOOSE SIDE IS \sqrt{18}
HENCE AREA EQUALS 18
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The area of the region described....   [#permalink] 22 Apr 2017, 00:43
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The area of the region described....

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