To solve the inequality \(2x - 2 < 4\), here are the steps in the correct order:
Step 1: Add 2 to both sides of the inequality.
\(2x - 2 + 2 < 4 + 2\)
\(2x < 6\)
Step 2: Divide both sides by 2.
\(\frac{2x}{2} < \frac{6}{2}\)
\(x < 3\)
Step 3: Graph the solution.
On a number line, you would mark an open circle at 3 and shade to the left, indicating that \(x\) can take any value less than 3.
So, the ordered steps are:
- \(2x - 2 < 4\) (original inequality)
- \(2x < 6\) (after adding 2)
- \(x < 3\) (after dividing by 2)
Graph: Open circle on 3, shading to the left.