Question

which graph represents this inequality?
x > 3

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x > 3\) has a "greater than" symbol (\(>\)). In number - line graphing, when the symbol is \(>\) or \(<\), we use an open circle at the boundary point. Here, the boundary point is \(x = 3\), so we use an open circle at \(3\).

Step2: Determine the direction of the graph

Since \(x\) is greater than \(3\), the values of \(x\) that satisfy the inequality are to the right of \(3\) on the number line.

Answer:

The second graph (the one with the open circle at \(3\) and the arrow pointing to the right) represents the inequality \(x>3\).