We argue that the superconducting state found in high-T-c cuprates is inhom
ogeneous with a corresponding inhomogeneous superfluid density. We introduc
e two classes of microscopic models which capture the magnetic and supercon
ducting properties of these strongly correlated materials. We start from a
generalized t-J model, in which appropriate inhomogeneous terms mimic strip
es. We find that inhomogeneous interactions that break magnetic symmetries
are essential to induce substantial pair binding of holes in the thermodyna
mic limit. We argue that this type of model reproduces the ARPES and neutro
n scattering data seen experimentally.