Answer
$\text{Set Builder Notation: }
\{ y|y\lt-17 \}
\\\text{Interval Notation: }
(-\infty, -17)$
Work Step by Step
Using the properties of inequality, then
\begin{array}{l}\require{cancel}
y+7\lt-10
\\\\
y\lt-10-7
\\\\
y\lt-17
.\end{array}
Hence, the solution set is
\begin{array}{l}\require{cancel}
\text{Set Builder Notation: }
\{ y|y\lt-17 \}
\\\text{Interval Notation: }
(-\infty, -17)
.\end{array}
In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot is used for $\le$ or $\ge.$