aceGRE21 wrote:
Hi @Sandy,
I am NOT sure with the possibility 2, [Can you please review my reasoning, as your solution is not making sense to me for the possibility 2 though that is NOT possible in the above question as X>0 given in the question, but still I wanted to clear my doubt]
Possibility 2: −2.5858 (low) to 1.4142 (high) [1.4142 − 4 = −2.5858]
Here, you have assumed X = -2.5858, that is, X is NEGATIVE. But then X^2 will be positive and 6.6863 will be the value of X^2, therefore,
Range = 6.6863 - (-2.5858) = 9.272 which is GREATER THAN 4.
Thus, X=-2.5858 is never possible. Can you please review?
I agree, possibility 2 does not make any sense whatsoever. Knowing that the range is 4 and getting the largest known number (in this case: square root of 2) subtract by 4 to find x does make sense, but then we do have X^2 in the list which will be larger than the square root of 2, making the actual range larger than 4.
For this question, the condition that x>0 should be relied upon to solve. If you missed it, then your answer would be wrong. That's it