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Which of the following points falls outside of the region defined by 2
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23 Mar 2021, 06:07
23 Mar 2021, 06:07
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Which of the following points falls outside of the region defined by \(2y \leq 6x-12\)?
A. (5, 1)
B. (3, -8)
C. (2, 0)
D. (1, -2)
E. (0, -14)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. (5, 1)
B. (3, -8)
C. (2, 0)
D. (1, -2)
E. (0, -14)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Which of the following points falls outside of the region defined by 2
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23 Mar 2021, 07:16
23 Mar 2021, 07:16
2
Carcass wrote:
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)
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.
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(-2) ≤ 6(1) − 12
Simplify: -4 ≤ -6
This DOES NOT satisfy the inequality, which means the point lies OUTSIDE the region.
Answer: D
Cheers,
Brent
Re: Which of the following points falls outside of the region defined by 2
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24 Mar 2021, 00:18
24 Mar 2021, 00:18
Since making the boundary and then comparing points would be a hassle,
we can simplify the given inequality and check the answer choices
The given inequality can be simplified as y ≤ 3(x-2)
After simplifying, the only remaining part is to check each answer choice and verify if it satisfies the inequality.
All points except Option D satisfy the given inequality hence we can safely say that point D is outside the given region
we can simplify the given inequality and check the answer choices
The given inequality can be simplified as y ≤ 3(x-2)
After simplifying, the only remaining part is to check each answer choice and verify if it satisfies the inequality.
All points except Option D satisfy the given inequality hence we can safely say that point D is outside the given region
