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coordinate system

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by shibal » Sun Apr 19, 2009 1:57 pm
In a rectangular coordinate system, which quadrant, if any, contains no point (X,Y) that satisfies the inequality 2x-3y<=6?

A.None
B.I
C.II
D.III
E.IV
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by DeepakR » Sun Apr 19, 2009 4:27 pm
I think the answer is E.) IV quadrant. Since for all other quadrants the values does satisfy the given equation.

Consider (1,-2) in IV quadrant , the equation becomes, (2*1)-3(-2)=8 which does not satisfy the equation.

- Deepak
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by truplayer256 » Sun Apr 19, 2009 5:51 pm
I think the answer is E.) IV quadrant. Since for all other quadrants the values does satisfy the given equation.

Consider (1,-2) in IV quadrant , the equation becomes, (2*1)-3(-2)=8 which does not satisfy the equation.

- Deepak
The coordinate (1,-1) in the fourth quadrant makes option E untrue since 2*1+3=5 and 5 is less than 6. Therefore, the answer should be A. Remember that the problem emphasizes the fact that a quadrant contains no point (X,Y) that completes the inequality 2x-3y<=6.
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by shibal » Mon Apr 20, 2009 9:16 am
OA: E
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by dumb.doofus » Mon Apr 20, 2009 10:37 am
IMO A

For y = 0 we get, x <=3
and for x = 0 we get y >=-2

so the area would look like what I have shown in the pic with red color. It encompasses all the 4 quadrants.. so I think the answer is A
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