The quotient of m and 7 is greater than or equal to 16
I think we have to translate this sentence into mathematical language. The quotient of m is the number that "divides" m, while "is greater than or equal" indicates, we have an inequality here. The proper answer looks like this:
\(\frac{m}{7}\geq 16\)
\(7\cdot \frac{m}{7}\geq 7\cdot 16\)
\(m \geq 112\)
\(m \epsilon <112, +\infty)\)
\(\frac{m}{7}\geq 16 \ \ \ |\ multiply\ both\ sides\ by\ 7 \\\\ 7\cdot \frac{m}{7}\geq 7\cdot 16\\\\m\geq 112 \\ \\m \ \in<112,+\infty )\)