Hello, I am trying to find an answer to the following question:
For what integer values of N is 10N lg N > 2N^2 ?
a) 0 <= N <= 12
b) 1 < N <= 12
c) 0 < N < 12
d) 0 < N < 13
I think the answer is C, but, I was hoping that someone might be able to explain how to figure this question out.
When I try to plug in a number less than 0, I get an error on a calculator. When I try a number greater than 1 and less than 12, I get this:
N = 1.1
10(1.1) (lg 1.1) > 2(1.1)^2
.45 > 2.42
Thus, this is why I pick C as my answer even though the math seems not to work out.
Any help would be appreciated.
Thanks in advance,