Consider the inequality.

Question

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
x is greater than 1
Skip to navigation

Answer 1

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

Step 1: Add 2 to both sides of the inequality. \[ 2x - 2 + 2 < 4 + 2 \] This simplifies to: \[ 2x < 6 \]

Step 2: Divide both sides by 2. \[ \frac{2x}{2} < \frac{6}{2} \] This gives us: \[ x < 3 \]

Step 3: Graph the solution. (This would involve drawing a number line and shading to the left of 3, indicating that x can take all values less than 3.)

For your second question regarding the solution of the inequality:

The solution is: x < 3