Question

graph x > 2

Explanation:

Step1: Recall the graph of a vertical - line inequality

The inequality \(x>2\) represents all the points in the coordinate plane where the \(x\) - coordinate is greater than 2. The boundary line is the vertical line \(x = 2\), and since the inequality is strict (\(x>2\) not \(x\geq2\)), the boundary line is dashed.

Step2: Determine the shaded region

We shade the region to the right of the line \(x = 2\) because for any point \((x,y)\) in that region, \(x>2\).

Answer:

The correct graph is the one with a dashed vertical line at \(x = 2\) and the region to the right of this line shaded.