Hi All,
Can someone please tell how to plot the following equation area in coordinate system and what is the reasoning for the same ?
2x + 3y <= 6
I was able to draw the line that represent 2x + 3y = 6. But how to draw the area that represents 2x + 3y <= 6.
Thanks
Mohit
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How to plot the following in coordinate system
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goelmohit2002
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kyabe
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The simplest way is to plug-in values from both the sides of line and whichever satisfies the equation will be ur side.
Tip: If the line is not passing through (0,0) use this co-ordinate to decide.
Tip: If the line is not passing through (0,0) use this co-ordinate to decide.
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goelmohit2002
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Thanks Kyabe.kyabe wrote:The simplest way is to plug-in values from both the sides of line and whichever satisfies the equation will be ur side.
Tip: If the line is not passing through (0,0) use this co-ordinate to decide.
plugging (0,0)...yields
0 <= 6...which is not true...
Can you please tell does it mean that all the points below the line will not satisfy this inequality....i.e. all the points above the line satisfy this equation ?
Thanks
Mohit
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kyabe
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goelmohit2002 wrote:Are u sure its not true???kyabe wrote:
plugging (0,0)...yields
0 <= 6...which is not true...
Can you please tell does it mean that all the points below the line will not satisfy this inequality....i.e. all the points above the line satisfy this equation ?
Thanks
Mohit
For me it is true and hence the side containing 0,0 is the side satisfying the equation
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goelmohit2002
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kyabe wrote:sorry sorry my mistake....yes 0 <=6goelmohit2002 wrote:Are u sure its not true???kyabe wrote:
plugging (0,0)...yields
0 <= 6...which is not true...
Can you please tell does it mean that all the points below the line will not satisfy this inequality....i.e. all the points above the line satisfy this equation ?
Thanks
Mohit
For me it is true and hence the side containing 0,0 is the side satisfying the equation
so in these type of questions....does it mean that all the points on one side of line are less than and all other points on other side are greater than ?
Any mathematical reason for the same ?
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goelmohit2002
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Thanks Kyabe....kyabe wrote:Try a few and check urself.. If u want the proof of it u need to contact a mathematics professor..
Actually what I meant was not proof....but reason behind this trick ?..so that we can be sure that this trick work all the time and has no dreaded exception.
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goelmohit2002
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Thanks a lot Kyabe...that helps !!!kyabe wrote:I dont know how to answer your question.. Only thing I can assure you that this way u'll never get wrong answer..
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goelmohit2002
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Hi Kyabe,
Following is the related question from OG-12, Q121. Can you please tell how to solve the same without using number picking....OG has used some random set of numbers to prove the same....but finding those random set is I think very dificult.
In the xy plane, region R consists of all the points (x, y) such that 2x + 3y <= 6. Is the point (r,s) in the Region R ?
1) 3r + 2s = 6
2) r <= 3 and s <= 2
[spoiler]OA = E.[/spoiler]
Following is the related question from OG-12, Q121. Can you please tell how to solve the same without using number picking....OG has used some random set of numbers to prove the same....but finding those random set is I think very dificult.
In the xy plane, region R consists of all the points (x, y) such that 2x + 3y <= 6. Is the point (r,s) in the Region R ?
1) 3r + 2s = 6
2) r <= 3 and s <= 2
[spoiler]OA = E.[/spoiler]
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goelmohit2002
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Aweome Kyabe ! Fantastic !
You are really ahead of OG....
I guess this is the reason why GMAT gives graph type paper in exam. First question where I have encountered the use of graph....without graph this would have been almost impossible to correctly make.
What do you say ?
You are really ahead of OG....
I guess this is the reason why GMAT gives graph type paper in exam. First question where I have encountered the use of graph....without graph this would have been almost impossible to correctly make.
What do you say ?
