This seems like a bit of a simple question in amongst all the 'proper' maths, but I'm a bit rusty...
If I have the following constraints:
$$ A = c(T - x) $$
$$ x - A > 0 $$
$$ 0 < c < 1 $$
I don't think that there is a way to calculate the minimum value that x can be to satisfy these contraints (for a fixed c and T) without using an iterative approach. Is that correct?