In this chapter, we first discuss the mass dependence of the three-body binding energy and derive inequalities linking baryons of different flavour content. Then we present inequalities relating the binding energies of baryons to those of simpler two-body systems, which can, to some extent, be identified as mesons. The rough inequalities by Ader et al.and Nussinov [83, 84] have been significantly improved recently [85, 86], so that the lower bounds now become rather accurate approximations of the three-body binding energies in terms of two-body binding energies.