Solving Algorithm Equations

1

116Rohan

I have been trying to figure out how to solve uneqaulity problems
I have two equations which I am trying to figure out

What values of n will make
8n^2 < 64 * n * Lg n
What I am trying to find is, is there a way to solve these kinds of
problems?

and also i am trying to figure out the below problem

What is the smallest value of n such that an algorithm whose running
time is 100n^2 runs faster than algorithm whose running time is 2n^2 on
the same machine.

Any pointers will help

Rohan
 

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