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In this paper, we obtain a reverse version of the integral Hardy inequalityon metric measure space with two negative exponents. Also, as for applicationswe show the reverse Hardy-Littlewood-Sobolev and the Stein-Weiss inequalitieswith two negative exponents on homogeneous Lie groups and with arbitraryquasi-norm, the result which appears to be new already in the Euclidean space.This work further complements the ranges of $p$ and $q$ (namely, $q\leq p<0$)considered in \cite{RV} and \cite{RV21}, where one treated the cases $1<p\leqq<\infty$ and $p>q$, respectively.

Hardy inequalities on metric measure spaces, III: The case $q\leq p<0$ and applications