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

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20 Dec 2006, 07:05

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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

(2) if we know the value of r,s ..we can determine if its lie on the line 2x + 3y = 6

But here if we draw the line on graph for 2x +3y =6 then we dont know which side area lies. so we cant predict whether r,s is in area or out of the area.

From 1) Intersecting line ... In area and out of area ..both possible
From 2) just one point ..clearly not on the given line..

I am not clear with one point...why the question talks about a region but provides a equation of a st line..I am not getting how the region is formed.
Can someone throw some light..?