1. **State the problem:** Solve the inequality $1.2x - 6 \geq 0$. 2. **Write the inequality:** $$1.2x - 6 \geq 0$$ 3. **Add 6 to both sides:** $$1.2x - 6 + 6 \geq 0 + 6$$ $$1.2x \geq 6$$ 4. **Divide both sides by 1.2:** $$\frac{\cancel{1.2}x}{\cancel{1.2}} \geq \frac{6}{1.2}$$ 5. **Simplify the right side:** $$x \geq 5$$ 6. **Interpretation:** The solution to the inequality is all values of $x$ greater than or equal to 5. **Final answer:** $$x \geq 5$$