To solve the inequality \(2m < 14\), we can divide both sides by 2:
\[ m < \frac{14}{2} \] \[ m < 7 \]
Now, we can express this solution in set notation. The correct representation in set notation would be all values of \(m\) such that \(m < 7\), which can be expressed as:
Option #1: {m : m < 7}
This means "the set of all \(m\) such that \(m\) is less than 7."
Therefore, the correct option is:
Option #1.