BTGModeratorVI wrote: ↑Thu Jun 11, 2020 8:42 am
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)
Answer:
D
Source: Veritas Prep
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(1) ≤ 6(-2) − 12
Simplify: 2 ≤ -24
This DOES NOT satisfy the inequality, which means the point lies OUTSIDE the region.
Answer: D
Cheers,
Brent
