If 0<x<2, which of the following must be greatest?
A) x
B) x^2
C) 2x
D) x+2
E) 2^x
OAD
Please explain
A) x
B) x^2
C) 2x
D) x+2
E) 2^x
OAD
Please explain
Hi Needgmat,
This question is more about the mathematical concepts involved than about actually doing calculations. I'm going to give you some hints so that you can reattempt this question on your own.
Given the range 0 < X < 2, we know that X can get really, really close to 2, but not 2 exactly...
[spoiler] Consider X^2 vs. 2X. If you maximize the value of X, which of those outcomes would be BIGGER? As a simple example, consider X = 1.9.....
(1.9)^2 = (1.9)(1.9)
2(1.9) = (2)(1.9)
Without multiplying those out, can you determine which one is bigger? How do you know? Now use THAT understanding to assess the remaining answer choices.[/spoiler]
GMAT assassins aren't born, they're made,
Rich
