From viruses to nanoparticles, constructs functionalized with multiple ligands display peculiar binding properties that only arise from multivalent effects. Using statistical mechanical modelling, we describe here how multivalency can be exploited to achieve what we dub range selectivity, that is, binding only to targets bearing a number of receptors within a specified range. We use our model to characterise the region in parameter space where one can expect range selective targeting to occur, and provide experimental support for this phenomenon. Overall, range selectivity represents a potential path to increase the targeting selectivity of multivalent constructs. Multivalent ligand-receptor interactions enhance binding selectivity in biological systems, and may be exploited to design synthetic systems. Here the authors demonstrate a multivalent behavior where the ability to bind the target occurs when the receptor density is within a specific range.