Question

How do you solve `-72<f/-6`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the inequality by `color(blue)(-6)` to solve for `f` while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:

`color(blue)(-6) xx -72 color(red)(>) color(blue)(-6) xx f/-6`

`432 color(red)(>) cancel(color(blue)(-6)) xx f/color(red)(cancel(color(black)(-6)))`

`432 color(red)(>) f`

To state the result in terms of `f` we can reverse or "flip" the entire inequality:

`f < 432`