Tough question.tabsang wrote:Is A^B > B^A?
(1) A^A > A^B
(2) B^A > B^B
IMO: E
Please let me know your thoughts.
Target question: Is A^B > B^A?
I'll jump straight to . . .
Statements 1 and 2 combined:
If A^A > A^B and B^A > B^B, then there are different pairs of numbers that satisfy these conditions. Here are two:
case a: A = -5 and B = -3, in which case A^B is greater than B^A
case b: A = 5 and B = 2, in which case A^B is not greater than B^A
Since we cannot answer the target question with certainty, the correct answer is E
Cheers,
Brent
