Question

Which value of m satisfies the inequality 170 − 7m > 99?

Answer 1

10 because if you minus 170 from 10 it would still be less than 99

Answer 2

`\large\boxed{m<(71)/(7)\to\left\m\ \to m\in\left(-\infty,\ (71)/(7)\right)}`

Explanation:

`170-7m>99\qquad\text{subtract 170 from both sides}\\\\-7m>-71\qquad\text{change the signs}\\\\7m<71\qquad\text{divide both sides by 71}\\\\m<(71)/(7)`