I made this up, so I am not even sure if there is a solution
Let's say I have to find values for which these two inequality hold [tex]x^2 + y^5 + z = 6[/tex] and [tex]8xy + z^9 \sin(x) + 2yx \leq 200[/tex]
And by Lagrange Multipliers that
[tex]\nabla f = \mu \nabla g[/tex]
So can I let [tex]f = 8xy + z^9 \sin(x) + 2yx - 200 \leq 0[/tex]?