Question

How many negative integers $m$ satisfy the inequality $\dfrac{3}{m} \le -\dfrac27$?

Answer 1

There are many negative integers if you didn’t do the $to add an actual copy and pasting this off of your actual dock on this wou 45.969

Answer 2

10

Explanation:

The restriction m < 0 means we can multiply by -7m/2 without changing the direction of the inequality symbol

`(3)/(m)\le-\frac27\\\\-(21)/(2)\le m\qquad m<0}`

Then the solution is the number of negative integer values between -10.5 and 0. There are 10 negative integer values of m that satisfy the inequality.