Question

graph the compound inequality on the number line.

\\(x \le -3\\) or \\(x \ge 4\\)

Explanation:

Analyze the compound inequality

$$ x \le -3 \quad \text{or} \quad x \ge 4 $$

Determine the boundary points and intervals

• For \(x \le -3\): A solid circle at \(-3\) with a ray pointing to the left.
• For \(x \ge 4\): A solid circle at \(4\) with a ray pointing to the right.

Answer:

To graph the compound inequality \(x \le -3\) or \(x \ge 4\) on the number line:

1. Place a solid circle at \(-3\) and draw a ray pointing to the left.
2. Place a solid circle at \(4\) and draw a ray pointing to the right.