1. **State the problem:** Solve the inequality $$\frac{x}{9} - 6 > 4$$. 2. **Isolate the variable term:** Add 6 to both sides to get rid of the -6. $$\frac{x}{9} - 6 + 6 > 4 + 6$$ $$\frac{x}{9} > 10$$ 3. **Solve for $x$:** Multiply both sides by 9 to isolate $x$. Since 9 is positive, the inequality direction stays the same. $$x > 10 \times 9$$ $$x > 90$$ 4. **Interpretation:** The solution means any value of $x$ greater than 90 satisfies the inequality. **Final answer:** $$x > 90$$