Inequality Solve 557646

1. **State the problem:** Solve the inequality $$-\frac{m}{2} > -3$$ and find the solution set. 2. **Formula and rules:** To solve inequalities involving variables, we isolate the variable on one side. When multiplying or dividing both sides by a negative number, the inequality sign reverses. 3. **Step 1: Multiply both sides by $-2$ to eliminate the fraction.** $$-2 \times \left(-\frac{m}{2}\right) < -2 \times (-3)$$ Note the inequality sign flips because we multiply by a negative number. 4. **Simplify:** $$\cancel{-2} \times \left(-\frac{m}{\cancel{2}}\right) < 6$$ This simplifies to: $$m < 6$$ 5. **Interpretation:** The solution to the inequality is all values of $m$ such that $$m < 6$$. 6. **Graphing:** On a number line, shade all values to the left of $6$, not including $6$ itself (open circle at $6$).