Question

Consider the inequality.

2x−2<4

Correctly order the steps used to solve the inequality.

(1 point)

Step 1.
Step 2.
Step 3.

Answer 1

To solve the inequality \( 2x - 2 < 4 \), the steps can be ordered as follows:

**Step 1:** Add 2 to both sides of the inequality to isolate the term with \( x \):
\[ 2x - 2 + 2 < 4 + 2 \]
\[ 2x < 6 \]

**Step 2:** Divide both sides by 2 to solve for \( x \):
\[ \frac{2x}{2} < \frac{6}{2} \]
\[ x < 3 \]

**Step 3:** Write the final solution:
The solution to the inequality is \( x < 3 \).

So the correct order of steps is:

1. Step 1: Add 2 to both sides.
2. Step 2: Divide by 2.
3. Step 3: Write the final solution.