Vincen wrote:If m<0, which of the following must be true?
A. -100 < m < 100
B. m ≤ -1
C. m ≤ 1
D. m^2 ≥ 1/4
E. -100 < m < 0
The key word here is
MUST
So, if we can show that an answer choice can be false, then we can ELIMINATE that answer choice.
If m is negative, then m COULD equal -200, in which case answer choices A and E are not true, because they state that m must be greater than -100
ELIMINATE A and E
Also, if m is negative, then m COULD equal -0.5, in which case answer choice B is not true, because it states that m must be less than -1
ELIMINATE B
Finally, if m is negative, then m COULD equal -1/5, which means m^2 = (-1/5)(-1/5) = 1/25, in which case answer choice D is not true, because it states that m^2 must be greater than 1/4
ELIMINATE D
By the process of elimination, the correct answer is
C
Brent Hanneson - Creator of GMATPrepNow.com
