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Question

Question 1
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
x is greater than 1
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page 3 of 3

Answer 1

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

Steps to Solve the Inequality

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

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

Step 3: Graph the solution.
On a number line, you would represent all numbers less than 3 with an open circle at 3 and shading to the left.

Answer to Question 2

The solution to the inequality \(2x - 2 < 4\) is: \[ x < 3 \]