Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

graph. x > -5 plot the endpoints. select an endpoint to change it from …

Question

graph.
x > -5
plot the endpoints. select an endpoint to change it from closed to open. select the middle the segment, ray, or line to delete it.

Explanation:

Step1: Identify the inequality type

The inequality $x > - 5$ is a strict - inequality.

Step2: Determine the endpoint

The endpoint of the inequality is $x=-5$. Since it is a strict inequality ($>$), we use an open - circle at $x = - 5$.

Step3: Determine the direction of the solution set

The values of $x$ are greater than $-5$, so the solution set extends to the right of $x=-5$ on the number line.

Answer:

On the given number line, place an open - circle at $x=-5$ and draw a ray to the right of $x = - 5$.