Question

graph the compound inequality.
$x\leq - 860$ or $x\geq - 840$
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
a segment, ray, or line to delete it.
submit

Explanation:

Step1: Analyze the inequality \(x\leq - 860\)

Since the inequality is \(x\leq - 860\), the endpoint \(x = - 860\) is included (closed - circle). The solution set for \(x\leq - 860\) is all real numbers less than or equal to \(-860\), which is represented by a ray starting at \(-860\) and going to the left.

Step2: Analyze the inequality \(x\geq - 840\)

Since the inequality is \(x\geq - 840\), the endpoint \(x=-840\) is included (closed - circle). The solution set for \(x\geq - 840\) is all real numbers greater than or equal to \(-840\), which is represented by a ray starting at \(-840\) and going to the right.

Answer:

On the number - line, place a closed - circle at \(x = - 860\) and draw a ray to the left. Place a closed - circle at \(x=-840\) and draw a ray to the right.