Question

How do you solve `-2m>100`?

Answer 1

See a solution process below:

Explanation:

Divide each side of the inequality by `color(blue)(-2)` to solve for `m` while keeping the inequality balanced. However, because we are dividing or multiplying an inequality by a negative number we need to reverse the inequality operator:

`(-2m)/color(blue)(-2) color(red)(<) 100/color(blue)(-2)`

`(color(blue)(cancel(color(black)(-2)))m)/cancel(color(blue)(-2)) color(red)(<) -50`

`m < -50`