Question

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

Explanation:

Step1: Understand inequality meaning

The inequality $x > 6$ means all values of $x$ that are greater than 6.

Step2: Analyze graph features

On a number - line graph, for $x>6$, we use an open circle at 6 (because 6 is not included in the solution set) and an arrow pointing to the right (towards larger numbers).

Answer:

The top graph (the one with the open - circle at 6 and the arrow pointing to the right).