Question

How do you solve `-55<=-5w`?

Answer 1

First, divide each side of the inequality by `color(blue)(-5)` to solve for `w` while keeping the inequality balanced. However, whenever dividing or multiplying an inequality by a negative term we must reverse the inequality symbol:

`(-55)/color(blue)(-5) color(red)(>=) (-5w)/color(blue)(-5)`

`11 color(red)(>=) (color(blue)(cancel(color(black)(-5)))w)/cancel(color(blue)(-5))`

`11 >= w`

To solve in terms of `w` we need to reverse or "flip" the entire inequality:

`w <= 11`