- #1
Kelvie
- 11
- 0
A bit of a newbie question, but I was wondering how does one go about solving these?
For example: (I was working on a problem posted on another thread on Homework Help)
[tex]
|3n-4| < 9\epsilon n^2 + 3 \epsilon
[/tex]
Epsilon is a small positive number of course :P
The tricky part is when I split it up..
[tex]
\begin{align*}
-9\epsilon n^2 - 3n - 3\epsilon + 4 < 0 \\
9\epsilon n^2 -3n + 3\epsilon + 4 > 0
\end{align*}
[/tex]
Wouldn't the solution for n then be 4 inequalities? That doesn't make sense, does it?
For example: (I was working on a problem posted on another thread on Homework Help)
[tex]
|3n-4| < 9\epsilon n^2 + 3 \epsilon
[/tex]
Epsilon is a small positive number of course :P
The tricky part is when I split it up..
[tex]
\begin{align*}
-9\epsilon n^2 - 3n - 3\epsilon + 4 < 0 \\
9\epsilon n^2 -3n + 3\epsilon + 4 > 0
\end{align*}
[/tex]
Wouldn't the solution for n then be 4 inequalities? That doesn't make sense, does it?