Question

which of the following is the graph of this inequality?
$x > -4$

Explanation:

Step1: Analyze the inequality symbol

The inequality is \(x > - 4\). The '>' symbol means that \(-4\) is not included in the solution set. On a number line, this is represented by an open circle at \(-4\).

Step2: Determine the direction of the graph

Since \(x\) is greater than \(-4\), the graph should extend to the right (towards larger values of \(x\)) from the open - circle at \(-4\).

Answer:

The graph with the open circle at \(-4\) and the red line extending to the right is the correct graph of the inequality \(x > - 4\).