Question

choose the correct inequality for this graph. \\( x > -2 \\) \\( x geq -2 \\) \\( y > -2 \\) \\( y geq -2 \\)

Explanation:

Step1: Identify boundary line

The graph has a vertical dashed line at $x=-2$.

Step2: Identify shaded region

The area to the right of $x=-2$ is shaded, representing all $x$-values greater than $-2$.

Step3: Match to inequality

A dashed line means the boundary is not included, so the inequality is $x > -2$.

Answer:

A. $x > -2$