A bit of a newbie question, but I was wondering how does one go about solving these?(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Absolute quadratic inequalities.

**Physics Forums | Science Articles, Homework Help, Discussion**