To solve the inequality \( 12 - 6x > 24 \), we can follow these steps:
Step 1: Subtract 12 from both sides of the inequality. \[ 12 - 6x - 12 > 24 - 12 \implies -6x > 12 \]
Step 2: Divide both sides of the inequality by -6. Remember, when dividing by a negative number, we need to reverse the inequality sign. \[ \frac{-6x}{-6} < \frac{12}{-6} \implies x < -2 \]
Step 3: Write the final answer. \[ \text{The solution is } x < -2. \]
So, the order of the steps used to solve the inequality is:
- Step 1: Subtract 12 from both sides.
- Step 2: Divide both sides by -6 and reverse the inequality sign.
- Step 3: Write the final solution.