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QUESTION IMAGE

graph {x | x ≥ -1 and x < 5}. plot the endpoints. select an endpoint to…

Question

graph {x | x ≥ -1 and x < 5}. 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: Identify the first endpoint

The inequality $x\geq - 1$ means $x$ can be equal to - 1, so we use a closed - circle at $x=-1$.

Step2: Identify the second endpoint

The inequality $x\lt5$ means $x$ cannot be equal to 5, so we use an open - circle at $x = 5$.

Step3: Connect the endpoints

We draw a line segment between the two endpoints to represent all the values of $x$ that satisfy both inequalities simultaneously.

Answer:

On the number - line, place a closed circle at $x = - 1$ (because $x\geq - 1$) and an open circle at $x = 5$ (because $x\lt5$). Then draw a line segment connecting these two points.