Question: Solve for $x$.
$6x - 1 > 11$
$x > [?]$
1. **State the problem:** Solve the inequality $$6x - 1 > 11$$ for $x$.
2. **Add 1 to both sides** to isolate the term with $x$:
$$6x - 1 + 1 > 11 + 1$$
$$6x > 12$$
3. **Divide both sides by 6** to solve for $x$:
$$\frac{6x}{\cancel{6}} > \frac{12}{\cancel{6}}$$
$$x > 2$$
4. **Interpretation:** The solution to the inequality is all values of $x$ greater than 2.
**Final answer:**
$$x > 2$$