Question

How do you solve `-10<=x/-2`?

Answer 1

`x <= 20`

Explanation:

We need to multiply each side of the inequality by `-2` to solve for `x`. However, when solving inequalities and you multiply or divide by a negative term this causes the inequality to reverse.

`-2 * -10 >= x/-2 * -2`

`20 >= x/(cancel(-2)) * cancel(-2)`

`20 >= x`

Or, to solve in terms of `x` we can reverse or "flip" the inequality:

`x <= 20`