I've read the following:
It is easy to see that given any independent set $I$ in $V$, the vertices of $V-I$ form a covering of $G$. Conversely, if $V-I$ forms a covering, then $\langle I\rangle$ must be empty; hence, it must be independent.
What is $\langle I\rangle$? I tried to search for it in the book I'm reading but couldn't. It doesn't have a notational index.
The comments by user66081 and Manuel Lafond are correct; $\langle I \rangle$ refers to the subgraph of $G$ induced by $I$. In Gould's Graph Theory, the notation is introduced on page 6: