Question

which of the following is the graph of this inequality?
x > 6

Explanation:

Step1: Analyze the inequality

The inequality \(x > 6\) means \(x\) is greater than \(6\).

Step2: Determine the graph representation

On a number line, for \(x>6\), there is an open circle at \(6\) (since \(6\) is not included) and the arrow points to the right (towards larger numbers).

Answer:

The first number - line (with the open circle at \(6\) and the red arrow pointing to the right) is the graph of the inequality \(x > 6\).