Question

which of the following number lines represents the inequality x>-5?

Explanation:

Step1: Understand inequality notation

The inequality $x > - 5$ means $x$ is greater than - 5. On a number - line, for a strict inequality ($>$ or $<$), we use an open circle at the boundary point.

Step2: Locate the boundary point

The boundary point for $x > - 5$ is $x=-5$. We need to find the number - line that has an open circle at $x = - 5$ and the line extending to the right (since values greater than - 5 are to the right of - 5 on the number - line).

Answer:

The third number - line (the one with an open circle at - 5 and the line extending to the right).