# Inspired by Dev Sharma

Algebra Level 4

$f( x,y) + g(x,y) \geq 6 \text{ and } f(x,y) \geq 2.$

Jean can show that $$f$$ and $$g$$ are 2 functions on 2 variables $$x$$ and $$y$$ that satisfy the conditions above.

Given only that information, are you able to deduce the largest $$N$$ such that $$g(x,y) \geq N$$ for all real values of $$x$$ and $$y$$?

If you think that no answer exists, enter in -1000.

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