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, \( x < 1 \).