Question

solve for m.
\\(\frac{m}{-1} \leq 4\\)

Explanation:

Step1: Simplify the left - hand side

The inequality is \(\frac{m}{- 1}\leq4\). We know that \(\frac{m}{-1}=-m\), so the inequality becomes \(-m\leq4\).

Step2: Multiply both sides by - 1

When we multiply both sides of an inequality by a negative number, the direction of the inequality sign changes. So, multiplying both sides of \(-m\leq4\) by - 1, we get \(m\geq - 4\) (because when we multiply \(-m\) by - 1 we get \(m\), and when we multiply 4 by - 1 we get - 4, and the \(\leq\) sign flips to \(\geq\)).

Answer:

\(m\geq - 4\)