Question: Solve for \( x \). \[ 6x - 1 > 11 \] \[ x > \boxed{?} \]

Solve for \( x \).

\[ 6x - 1 > 11 \]

\[ x > \boxed{?} \]

Solution

To solve the inequality \(6x - 1 > 11\), follow these steps: Add 1 to both sides of the inequality: \[ 6x - 1 + 1 > 11 + 1 \] Simplify: \[ 6x > 12 \] Divide both sides by 6: \[ x > \frac{12}{6} \] Simplify the fraction: \[ x > 2 \] Thus, the solution is \(x > 2\).