Question

When solved for x, which inequality represents the number line?

A. 12x - 88 - 4x
B. 12x - 88 - 4x
C. 12x + 8 ≥ 8 - 4x
D. 12x - 8 > 8 - 4x

Answer 1

To represent the number line, we solve the inequality for x. Option C, 12x + 8 ≥ 8 - 4x, represents the number line with x ≥ 0.

Step-by-step explanation:

To represent the number line, we need to solve the inequality for x. Let's examine each option:

1. A. 12x - 88 - 4x
2. B. 12x - 88 - 4x
3. C. 12x + 8 ≥ 8 - 4x
4. D. 12x - 8 > 8 - 4x

To solve for x, we need to isolate x on one side of the inequality. Option C can be solved as follows:

12x + 8 ≥ 8 - 4x

To isolate x, we can subtract 8 from both sides:

12x ≥ 0 - 4x

Next, we can add 4x to both sides:

16x ≥ 0

Finally, we divide both sides by 16:

x ≥ 0

Therefore, option C represents the number line with a solution that x is greater than or equal to 0.