I need to solve this inequality for $j$ and I am having a hard time. I also tried to use Mathematica but it did not work.
Do you have any idea of how to proceed? Any tips on the procedure is very appreciated.
$$ \underset{j}{\mathrm{max}} \hspace{0.1cm }(1-\beta) \frac{\beta j(\lambda -1)+z(\beta+\beta(-q)-1)-\beta\lambda w}{(\beta -1)(\beta q +1)} -j > 0 $$
Thank you for your help!