\begin{tabular}{l|l}\( \square \) & Question 3 \\ \( 2-3 x<5 x-22 \) \\ \( \bigcirc x>-12 \) \\ \( \bigcirc x<3 \) \\ \( O x>3 \) \\ \( O x<12 \)\end{tabular}

Let's solve the inequality step by step: \[ 2 - 3x < 5x - 22 \] 1. **Move all terms involving \(x\) to one side and constant terms to the other side:** \[ 2 - 3x - 5x < -22 \] \[ 2 - 8x < -22 \] 2. **Subtract 2 from both sides to isolate the term with \(x\):** \[ -8x < -24 \] 3. **Divide both sides by \(-8\).** **_Important:_** When you divide or multiply both sides of an inequality by a negative number, you must **reverse the inequality sign**. \[ x > 3 \] **Solution:** \( x > 3 \) --- **Based on the provided options:** - \( \bigcirc \) \( x > -12 \) - \( \bigcirc \) \( x < 3 \) - \( \bigcirc \) \( x > 3 \) - \( \bigcirc \) \( x < 12 \) **The correct answer is:** \( x > 3 \)