Which of the following graphs represents the solution to the inequality below?

Question

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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.