Question

12−6x>24

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.