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Question

Question 1
Consider the inequality.

12−6x>24


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.
Question 2
What is the solution set for 12−6x>24
?(1 point)
Responses

x>2
x is greater than 2

x<2
x<2

x>−2
x is greater than negative 2

x<−2
x<−2
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Answer 1

To solve the inequality \(12 - 6x > 24\), we can follow these steps:

Step 1:

Subtract 12 from both sides.
This simplifies the inequality:
\( -6x > 24 - 12 \)
\( -6x > 12 \)

Step 2:

Divide both sides by -6.
Remember that when dividing or multiplying by a negative number, we flip the inequality sign:
\( x < -2 \)

Step 3:

State the solution set.
The solution set is \( x < -2 \).

Answers:

For Question 1, the order of the steps is:

• Step 1: Subtract 12 from both sides.
• Step 2: Divide both sides by -6 (flip the inequality).
• Step 3: State the solution set.

For Question 2, the solution set is:

• \( x < -2 \) (or "x is less than negative 2").

So, you should select the option for \( x < -2 \) in the responses for Question 2.