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# In the xy-plane, region R consists of all the points (x, y)

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Senior Manager
Joined: 19 Feb 2007
Posts: 327
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In the xy-plane, region R consists of all the points (x, y) [#permalink]  05 Nov 2007, 10:30
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Q12:
In the xy-plane, region R consists of all the points (x, y) such that 2x + 3y = 6. Is the point
(r, s) in region R ?

(1) 3r + 2s = 6
(2) r = 3 and s = 2
Manager
Joined: 01 Nov 2007
Posts: 69
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Kudos [?]: 3 [0], given: 0

D

or am I missing something
Manager
Joined: 25 Jul 2007
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I think it's B

Statement 1 indicates that point(s,r) is in the region R. It doesn't say anything about point(r,s).
SVP
Joined: 01 May 2006
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(B) it is

The statment 1 flips the x and y... (r, s) is definied by 3r + 2s = 6 and R is 2x + 3y = 6 <=> 2r + 3s = 6.

So we have 1 point of intersection for the 2 lines that makes yes and all the other points of 3*x+2*y = 6 that are out

This is insufficient
Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 186 [0], given: 2

This question puzzled me too...

how do you define a region??? is it below the line or above the line?

unless we know what area the region covers..we cant say anything...

I would say the answer is E
Director
Joined: 09 Aug 2006
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Fig wrote:
(B) it is

The statment 1 flips the x and y... (r, s) is definied by 3r + 2s = 6 and R is 2x + 3y = 6 <=> 2r + 3s = 6.

So we have 1 point of intersection for the 2 lines that makes yes and all the other points of 3*x+2*y = 6 that are out

This is insufficient

Fig, Can you pls. explain how one determines whether a point (r,s in this case) is in the same region as another point? Sure we can plot the rough graphs of both equations. But so what? Thanks.
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