5x+2y >= 10
5x+2y =10 is a line that intersects x axis at 2 and y axis at 5.
Now 5x+2y>=10 will always beupwards to the line since (0,0) does not satisfy the equation.
So Quadrant 3 or C should not have any value fo rthis inequality
pick 3
tough question
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gmatmachoman
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My way of solving it :kvcpk wrote:5x+2y >= 10
5x+2y =10 is a line that intersects x axis at 2 and y axis at 5.
Now 5x+2y>=10 will always beupwards to the line since (0,0) does not satisfy the equation.
So Quadrant 3 or C should not have any value fo rthis inequality
pick 3
When both x& y values are negative, the inequality does NOT hold true.
Ex: x= -1 y= -2
5x+2y >= 10
5*-1+2*-2
-5-4 is NOT >= 10.
So values in 3rd quadrant will fail for the inequality.
Pick C
Last edited by gmatmachoman on Wed Jul 07, 2010 5:05 am, edited 2 times in total.
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sanju09
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gmatmachoman wrote:My way of solving it :kvcpk wrote:5x+2y >= 10
5x+2y =10 is a line that intersects x axis at 2 and y axis at 5.
Now 5x+2y>=10 will always beupwards to the line since (0,0) does not satisfy the equation.
So Quadrant 3 or C should not have any value fo rthis inequality
pick 3
When both x& y values are negative, the inequality does NOT hold true.
Ex: x= -1 y= -2
5x+2y >= 10
5*-1+2*-2
-5-2 is NOT >= 10.
So values in 3rd quadrant will fail for the inequality.
Pick C
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GMATGuruNY
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Let's rewrite the equation so that it's in the form y = mx + b and we can see the slope and the y-intercept:bupbebeo wrote:Which quadrant of the rectangular coordinate system to the left does not contain any point (x, y) expressed by the inequality -5x - 2y ≤ -10 ?
1. A
2. B
3. C
4. D
5. None
-5x - 2y ≤ -10
- 2y ≤ 5x -10
y>=(-5/2)x + 5
The line y = (-5/2)x + 5 represents the lower border of the region expressed by the inequality. The border has a negative slope and crosses the y axis at (0,5). So it never passes through quadrant C. Since the inequality represents the region that includes the border and every y value greater than -- meaning above -- the border, no points in quadrant C are included.
The correct answer is C.
Whenever you are given the equation for a line that is not in the form y = mx + b, rewrite the equation in this form so that you can see the slope and the y-intercept and understand how the line looks.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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