Question

What are the steps to solve this inequality? And which number line is correct? (The green area is the shaded region.)%0D%0A%0D%0A−8+4x<−4%0D%0A−%0D%0A8%0D%0A+%0D%0A4%0D%0A𝑥%0D%0A<%0D%0A−%0D%0A4%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0ASubtract 8 and divide by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A%0D%0A Subtract 8 and divide by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A%0D%0AAdd 8 and divide by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A%0D%0AAdd 8 and divide by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A%0D%0AAdd 8 and divide by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A%0D%0A Add 8 and divide by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A%0D%0AAdd 8 and multiply by 4, x<1%0D%0A𝑥%0D%0A<%0D%0A1%0D%0A

Answer 1

To solve the inequality \( -8 + 4x < -4 \), follow these steps:

1. **Add 8 to both sides**:
\[
-8 + 4x + 8 < -4 + 8
\]
This simplifies to:
\[
4x < 4
\]

2. **Divide both sides by 4**:
\[
\frac{4x}{4} < \frac{4}{4}
\]
This simplifies to:
\[
x < 1
\]

Now we have \( x < 1 \).

### Conclusion:
The solution to the inequality is \( x < 1 \).

### Number Line:
On a number line, to represent \( x < 1 \), you would place an open circle at 1 (to indicate that 1 itself is not included in the solution) and shade to the left of 1 to represent all numbers less than 1.

### Correct Response:
Based on the options provided, **the correct way to express solving this inequality** is:
- Add 8 and divide by 4, \( x < 1 \).