The quotient of m and 7 is greater than or equal to 16

• mashenka: 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:
  [tex] \frac{m}{7}\geq 16 [/tex]
  [tex] 7\cdot \frac{m}{7}\geq 7\cdot 16 [/tex]
  [tex] m \geq 112 [/tex]
  [tex] m \epsilon <112, +\infty) [/tex]
  
• Lilith: [tex]\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 )[/tex]