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
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:
-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.Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
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].
Student Review #1
Student Review #2
Student Review #3
^2
