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equation of a line/region

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by winnerhere » Thu Sep 03, 2009 5:10 am
The region covered by three lines

2x+y<=2 , -2x+y<=2 and y>=0 is

1)2x + |y| <=2 and y>=0

2)2x + |y| >=2 and y>=0

3)2|x| + y <=2 and y>=0

4)2|x| + y >=2 and y>=0
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by kaulnikhil » Thu Sep 03, 2009 5:29 am
3)2|x| + y <=2 and y>=0
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by winnerhere » Thu Sep 03, 2009 7:21 am
Thanks kaulnikil :)

may i know ur approach to the sum?
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Approach

by Gladiator » Thu Sep 03, 2009 8:33 am
there are two ways to solve this problem.

1. Is traditional way. by solving the equation.
2. Other is GMAT way.

from given equations it is clear that
y>=0

also if one closely watches the other equations

then 2x+y , -2x+y ==> 2|x|+y , where if x <0 then it becomes -2x+y and if x>=0 then it becomes 2x +y...

hence the answer.
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by kaulnikhil » Thu Sep 03, 2009 11:35 am
winnerhere wrote:Thanks kaulnikil :)

may i know ur approach to the sum?
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