Solve the inequality: 3x - 2 < 7.

**The reasoning** When solving inequalities, treat them like equations — but with one golden rule: **preserve the inequality direction** (unless you multiply/divide by a negative number, which doesn't happen here). Starting with: 3x - 2 < 7 **Step 1:** Add 2 to both sides 3x - 2 + 2 < 7 + 2 3x < 9 **Step 2:** Divide both sides by 3 x < 3 The inequality sign stays as "less than" because we divided by a positive number. Simple as that! --- **Why the wrong options tempt you** - **Option B (x > 3):** You might flip the sign by mistake, thinking all inequalities reverse. They only reverse when multiplying/dividing by **negative** numbers. - **Options C & D (≤ and ≥):** The original has strict "<", not "≤". There's no equal sign anywhere in 3x - 2 < 7, so don't add one to your answer. --- **Quick takeaway** Solve inequalities like equations, keeping the inequality sign unless you multiply/divide by a negative — then flip it!