12−6x>24

Question

Correctly order the steps used to solve the inequality.

(1 point)
Step 1.
Step 2.
Step 3.

Answer 1

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:

1. Step 1: Subtract 12 from both sides.
2. Step 2: Divide both sides by -6 and reverse the inequality sign.
3. Step 3: Write the final solution.