preenveloping

In this case, we get a strengthened version of the translation of the Wakamatsu lemma to the exact context, and also prove that subcategories which are ℰ-resolving and epimorphic precovering with kernels in their right ℰ-orthogonal class and subcategories which are ℰ-coresolving and monomorphic preenveloping with cokernels in their left ℰ-orthogonal class are determined by each other.