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09 Aug 2016, 09:21
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:47) correct
29%
(01:56)
wrong
based on 615
sessions
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Which of the following points falls outside of the region defined by 2y≤6x−12?
A. (5, 1)
B. (3, -8)
C. (2, 0)
D. (1, -2)
E. (0, -14)
A. (5, 1)
B. (3, -8)
C. (2, 0)
D. (1, -2)
E. (0, -14)
09 Aug 2016, 10:07
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Nevernevergiveup
One option is to sketch the region and check each point, but TESTING THE ANSWER CHOICES might be faster.
NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.
For more on this strategy, see my article: https://www.gmatprepnow.com/articles/han ... -questions
E. (0, -14)
Plug in x and y values to get: 2(-14) ≤ 6(0) − 12
Simplify: -28 ≤ -12
This satisfies the inequality, which means the point lies INSIDE the region.
ELIMINATE E
D. (1, -2)
Plug in x and y values to get: 2(1) ≤ 6(-2) − 12
Simplify: 2 ≤ -24
This DOES NOT satisfy the inequality, which means the point lies OUTSIDE the region.
Answer:
Cheers,
Brent
Nevernevergiveup
Simplify the inequality to get: y <= 3x - 6
Plot y = 3x - 6. The two points through which it passes are (0, -6) and (2, 0). Now put (0, 0) and you will find that the inequality is not satisfied. So the region we are considering is the one other than the one where (0, 0) lies. Now you can easily see which points do lie and which do not lie in our region.
