Question

Consider the inequality. 2x−2<4 Correctly order the steps used to solve the inequality. (1 point) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1. Step 2. Step 3. Graph the solution. Question 2 Consider the inequality. 2x−2<4 Determine the solution. (1 point) Responses x<3 x<3 x>3 x is greater than 3 x<1 x<1 x>1

Answer 1

To solve the inequality \( 2x - 2 < 4 \), we can follow these ordered steps:

### Steps to Solve the Inequality

1. **Add 2 to both sides**: This gives us \( 2x < 6 \).
2. **Divide both sides by 2**: This simplifies to \( x < 3 \).
3. **Graph the solution**: On a number line, we would graph an open circle at 3 and shade to the left to indicate that x is less than 3.

### Answers

- **Step 1**: Add 2 to both sides
- **Step 2**: Divide both sides by 2
- **Step 3**: Graph the solution

### Solution to the Inequality

The solution is \( x < 3 \).