Question

Which of the following graphs represents the solution to the inequality below?
*
1 point
Captionless Image( the inequality is -12 - 4x> -24
A
B
C
D

Answer 1

To determine which graph represents the solution to the inequality \(-12 - 4x > -24\), we first need to solve the inequality step by step.

1. **Add 12 to both sides**:
\[
-4x > -24 + 12 \\
-4x > -12
\]

2. **Divide both sides by -4**. Remember, when we divide by a negative number, we need to flip the inequality sign:
\[
x < \frac{-12}{-4} \\
x < 3
\]

The solution to the inequality is \(x < 3\).

**Interpretation of the result:**
- This means that the graph should show all the values to the left of \(x = 3\) (not including 3 itself, since it's a strict inequality).

Now, when looking at the choices (A, B, C, D), you should look for:
- An open circle at \(x = 3\) to indicate that 3 is not included.
- A line or shading extending to the left from 3.

Please review the graphs provided to identify which one meets these criteria.