Question

How do you solve and write the following in interval notation: `-4 ≥ m/-1`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the inequality by `color(blue)(-1)` to solve for `m` while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we need to reverse the inequality operator:

`color(blue)(-1) xx -4 color(red)(<=) color(blue)(-1) xx m/-1`

`4 color(red)(<=) cancel(color(blue)(-1)) xx m/color(blue)(cancel(color(black)(-1)))`

`4 color(red)(<=) m`

To state the solution in terms of `m` we can reverse or "flip" th entire inequality:

`m >= 4`

In interval notation:

`[4, +oo)`