Question

graph the compound inequality.

$x\geq -994$ and $x\leq -992$

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.

Explanation:

Step1: Analyze the inequality signs

For \(x\geq - 994\), the endpoint \(-994\) is included (closed - circle). For \(x\leq - 992\), the endpoint \(-992\) is included (closed - circle).

Step2: Determine the interval

The compound inequality \(x\geq - 994\) and \(x\leq - 992\) represents the interval \([-994,-992]\). On the number - line, we plot a closed - circle at \(-994\) (since \(x=-994\) satisfies \(x\geq - 994\)) and a closed - circle at \(-992\) (since \(x = - 992\) satisfies \(x\leq - 992\)), and then connect the two points with a line segment.

Answer:

Plot a closed - circle at \(-994\) and a closed - circle at \(-992\), and draw a line segment between them on the number - line.