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

Jul 6, 2017

See a solution process below:

#### Explanation:

Multiply each side of the inequality by $\textcolor{b l u e}{- 1}$ 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:

$\textcolor{b l u e}{- 1} \times - 4 \textcolor{red}{\le} \textcolor{b l u e}{- 1} \times \frac{m}{-} 1$

$4 \textcolor{red}{\le} \cancel{\textcolor{b l u e}{- 1}} \times \frac{m}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 1}}}}$

$4 \textcolor{red}{\le} m$

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

$m \ge 4$

In interval notation:

$\left[4 , + \infty\right)$