Question

consider the following inequality.
-7 ≤ x < -1
step 1 of 2: graph the solution to the given inequality.
answer
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pressing the buttons will create an interval with the indicated endpoint type. the interval is graphed by moving the endpoints to the desired values. to remove graphed intervals, use the clear button. to indicate infinity or negative infinity, drag an open end point to the end of the number line.

Explanation:

Step1: Identify the type of endpoints

For \(x\geq - 7\), the endpoint at \(x = - 7\) is a closed (or filled) circle because of the "\(\leq\)" sign. For \(x<-1\), the endpoint at \(x=-1\) is an open (or unfilled) circle because of the "\(<\)" sign.

Step2: Graph the interval

On the number - line, place a closed circle at \(x = - 7\) and an open circle at \(x=-1\). Then draw a line segment connecting these two points.

Answer:

On the number - line, mark a closed circle at \(-7\) and an open circle at \(-1\), and connect them with a line segment.