Question: Solve the following inequality:
1 > -3(2/3 x - 4) - 1
1. **State the problem:** Solve the inequality $$1 > -3\left(\frac{2}{3}x - 4\right) - 1$$.
2. **Distribute the -3:**
$$1 > -3 \times \frac{2}{3}x + (-3) \times (-4) - 1$$
$$1 > -2x + 12 - 1$$
3. **Simplify the right side:**
$$1 > -2x + 11$$
4. **Add 2x to both sides to isolate terms with $x$ on the left:**
$$1 + 2x > 11$$
5. **Subtract 1 from both sides:**
$$2x > 10$$
6. **Divide both sides by 2:**
$$\frac{\cancel{2}x}{\cancel{2}} > \frac{10}{2}$$
$$x > 5$$
**Final answer:** $$x > 5$$