Solve for: 11 < 2x-9

Expression: $11 < 2x-9$

Move the variable to the left-hand side and change its sign

$11-2x < -9$

Move the constant to the right-hand side and change its sign

$-2x < -9-11$

Calculate the difference

$-2x < -20$

Divide both sides of the inequality by $-2$ and flip the inequality sign

$\begin{align*}&x > 10 \\&\begin{array} { l }x \in \langle10, +\infty\rangle\end{array}\end{align*}$