How come the answer is D?
If |x| > 3, which of the following must be true?
I. x > 3
II. x^2 > 9
III. |x-1|>2
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III
Hi Ryan,
The best way to solve “MUST-BE/COULD -BE” question is Plugging-IN
Must-Be means it has to be always true based on the condition given in the question.
|x| > 3
Distance of “x “from origin is greater than 3.
So, “x” has to be more than 3 and less then -3.
So lets take the value of x to be 4.
If x is 4,
I. 4 > 3 True.
II. 16 > 9 True.
III. 3 > 2 True.
But lets say if x is -4
I. -4 > 3 is not true. So eliminate A, C and E.
II. 16 > 9 True again.
III. 5 > 2 True.
So, we can clearly see that, for any value of x < -3 or x > 4
Both these statement would hold true.
So the answer has to be D.
Hope this helps.
