equation of a line/region

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winnerhere: Master | Next Rank: 500 Posts; Posts: 231; Joined: Thu Apr 12, 2007 2:45 amFollowed by: 1 member; Thanked: 5 times

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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Source: Beat The GMAT — Problem Solving | Thu Sep 03, 2009 5:10 am

kaulnikhil: Master | Next Rank: 500 Posts; Posts: 338; Joined: Fri Apr 17, 2009 1:49 amFollowed by: 3 members; Thanked: 9 times

by kaulnikhil » Thu Sep 03, 2009 5:29 am

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

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winnerhere: Master | Next Rank: 500 Posts; Posts: 231; Joined: Thu Apr 12, 2007 2:45 amFollowed by: 1 member; Thanked: 5 times

by winnerhere » Thu Sep 03, 2009 7:21 am

Thanks kaulnikil

may i know ur approach to the sum?

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Gladiator: Newbie | Next Rank: 10 Posts; Posts: 7; Joined: Thu Sep 03, 2009 5:45 am; Thanked: 2 times

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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kaulnikhil: Master | Next Rank: 500 Posts; Posts: 338; Joined: Fri Apr 17, 2009 1:49 amFollowed by: 3 members; Thanked: 9 times

by kaulnikhil » Thu Sep 03, 2009 11:35 am

winnerhere wrote:Thanks kaulnikil

may i know ur approach to the sum?

Refer the attachment

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Lines.doc: (23.5 KiB) Downloaded 110 times

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