Before revision:  In this work, we present equalities and inequalities--akin to the FDT but valid arbitrarily far from equilibrium--that link response to the strength of nonequilibrium driving.
After revision:  In this work, we present equalities and inequalities--akin to the FDT but valid arbitrarily far from equilibrium that constrain the response of nonequilibrium steady states in terms of the strength of nonequilibrium driving.