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Coordinate Geometry

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Coordinate Geometry

by Night reader » Wed Nov 24, 2010 1:12 pm
In the xy-plane, region A consists of all the points (x; y) such that 1 - x < 2y. Is the point (a; b) in region A?
(1) a > 2b
(2) b = 1
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by clock60 » Wed Nov 24, 2010 2:18 pm
i hope the answer is C
(1) a>2b.
a=3. b=1. 3>2*1. 2*1>1-3. 2>-2 the answer is yes, but if we consider fractions
a=1/4, b=1/16. 1/4>2*(1/16). 1/4>1/8. but 2*1/16=1/8, and 1-1/4=3/4. 1/8<3/4, the answer is no
(2) insufficient, we know nothing about a
together
b=1, a>2. say a=2.1, 2*1>1-2.1, left part will always be (+), and right part will always be (-)
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