Question

graph.

(x \ge -2)

plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Identify the inequality and boundary point

The given inequality is:

$$ x \ge -2 $$

The boundary value is \(x = -2\).

Determine the endpoint type

The inequality uses the "greater than or equal to" symbol (\(\ge\)).
This means the endpoint at \(-2\) is included in the solution set, so it must be represented by a closed (solid) circle.

Determine the direction of the ray

Since the inequality is \(x \ge -2\), the values of \(x\) are greater than or equal to \(-2\).
Therefore, the ray must start at \(-2\) and point to the right, towards positive infinity.

Answer:

To graph the inequality \(x \ge -2\) on the number line:

1. Place a closed (solid) circle at \(-2\).
2. Draw a ray pointing to the right from \(-2\) towards positive infinity.