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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.
The option "<span style="font-size:1.1em;">Add 12 to both sides of the inequality.</span>" (2 of 7) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.

1 answer

To solve the inequality \( 12 - 6x > 24 \), the steps to follow are as follows:

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

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

This simplifies to:

\[ -6x > 12 \]

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

\[ x < -2 \]

Step 3: Write the final solution.

The correct ordering of the steps is:

  1. Subtract 12 from both sides of the inequality.
  2. Divide both sides by -6.
  3. Write the final solution.

Please insert the steps in the provided slots based on this order.