Question

use the number line to represent the solution to \\(\frac{x}{2} \geq 4\\). click on the appropriate ray to select it, then click on the location of the endpoint of the ray to place it on the number line.

Explanation:

Step1: Solve the inequality for \( x \)

To solve \( \frac{x}{2} \geq 4 \), we multiply both sides of the inequality by 2.
\[
\frac{x}{2} \times 2 \geq 4 \times 2
\]

Step2: Simplify both sides

Simplifying the left side gives \( x \), and simplifying the right side gives 8. So we have \( x \geq 8 \).

To represent this on the number line:

• The inequality \( x \geq 8 \) means we use a closed circle (since the inequality is "greater than or equal to") at \( x = 8 \) and draw a ray pointing to the right (towards larger numbers) from \( x = 8 \).

Answer:

On the number line, place a closed circle at 8 and draw a ray to the right (towards 9, 10, etc.) from 8.