Question

which graph shows the inequality ( x < 0 )?

Explanation:

Step1: Analyze the inequality symbol

The inequality \(x < 0\) has a “less than” symbol. This means the value \(0\) is not included in the solution set. On a number - line, a non - included point is represented by an open circle.

Step2: Determine the direction of the graph

Since \(x\) is less than \(0\), the graph should extend to the left (towards the negative numbers) from the open circle at \(0\).

Answer:

The second option (the graph with an open circle at \(0\) and the line extending to the left) is the correct graph for the inequality \(x < 0\).