\(\sin { x} +\sin{3x}<\sin{5x}+\sin{7x}\)
If the ranges of solutions to this problem are in the form
\(\alpha n<x<\mu+\beta n,\)
\(\Gamma +\gamma n<x<\Delta +\delta n,\)
\(\varsigma +\varepsilon n<x<\Upsilon +\zeta n,\)
\(\chi +\eta n<x<\Theta +\theta n,\)
\(Xi +\xi n<x<\Sigma +\sigma n,\)
\(\Psi +\psi n<x<\Omega +\omega n;\)
where \(n\in \mathbb{Z},\)
then
\(\left\lfloor \alpha+\mu+\beta+\Gamma+\gamma+\Delta+\delta+\varsigma+\varepsilon+\Upsilon+\zeta+\chi+\eta+\Theta+\theta+\Xi+\xi+\Sigma+\sigma+\Psi+\psi+\Omega+\omega \right\rfloor =\)
...
by
John M.
