Question

solve -5m < 10 options: m < -50, m > -2, m > -50, m < -2

Explanation:

Step1: Analyze the inequality

We have the inequality \(-5m < 10\). To solve for \(m\), we need to isolate \(m\). When dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign changes.

Step2: Solve for \(m\)

Divide both sides of the inequality \(-5m < 10\) by \(-5\). Since we are dividing by a negative number, we reverse the inequality sign:

$$ \frac{-5m}{-5} > \frac{10}{-5} $$

Simplifying both sides gives:

$$ m > -2 $$

Answer:

\(m > -2\) (corresponding to the option with "m > -2")