Question

which of the following is the graph of this inequality? x > -5

Explanation:

Step1: Understand inequality meaning

The inequality $x > - 5$ means all values of $x$ that are greater than -5.

Step2: Analyze graph features

On a number - line, we use an open circle at -5 (because -5 is not included in the solution set for $x > - 5$) and an arrow pointing to the right (towards larger numbers).

Answer:

The first graph (with the open circle at -5 and the arrow pointing to the right) is the graph of the inequality $x > - 5$.