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.