Consider the inequality.

Question

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
Skip to navigation

Answer 1

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

Step 1: Subtract 12 from both sides of the inequality.

\[ 12 - 6x - 12 > 24 - 12 \implies -6x > 12 \]

Step 2: Divide both sides by -6. (Remember, dividing by a negative number flips the inequality sign.)

\[ \frac{-6x}{-6} < \frac{12}{-6} \implies x < -2 \]

Step 3: Write the solution set.

The correct order is:

• Step 1: Subtract 12 from both sides
• Step 2: Divide by -6
• Step 3: Write the solution

---

For Question 2, the solution set for \( 12 - 6x > 24 \) is:

x < -2

This corresponds to the response "x < −2".