Answer
Let\[p\]be I am a full-time student.
Let\[q\]be I cannot work.
Let \[r\]be I cannot afford a rental apartment costing more than $500 per month.
The form of the premises is
\[\begin{align}
& \underline{\begin{align}
& p\to q \\
& q\to r \\
& \\
\end{align}}\ \ \ \ \ \underline{\begin{array}{*{35}{l}}
\text{If I am a full-time student, I cannot work}\text{.} \\
\begin{align}
& \text{If I cannot work, I cannot afford a rental apartment costing } \\
& \text{more than }\!\!\$\!\!\text{500permonth}\text{.}\\\end{align}\\\end{array}}\\&\\therefore\\\?\\\\\\\\\\text{Therefore,}\\\end{align}\]
The conclusion \[p\to r\] is valid because it forms the transitive reasoning of a valid argument when it follows the given premises.
The conclusion can be translated as if I am a full-time student, I cannot afford a rental apartment coasting more than 500 per month.
