  Every cluster-tilted algebra $B$ is the relation extension $C\ltimes
\text{Ext}^2_C(DC,C)$ of a tilted algebra $C$. A $B$-module is called induced
if it is of the form $M\otimes_C B$ for some $C$-module $M$. We study the
relation between the injective presentations of a $C$-module and the injective
presentations of the induced $B$-module. Our main result is an explicit
construction of the modules and morphisms in an injective presentation of any
induced $B$-module. In the case where the $C$-module, and hence the $B$-module,
is projective, our construction yields an injective resolution. In particular,
it gives a module theoretic proof of the well-known 1-Gorenstein property of
cluster-tilted algebras.
