Question

graph the inequality in the coordinate plane.
$x > -2$

Explanation:

Step1: Identify the boundary line

The inequality is \( x > -2 \). The boundary line is \( x = -2 \), which is a vertical line parallel to the y - axis passing through \( x=-2 \) on the x - axis. Since the inequality is \( x > -2 \) (not \( x\geq - 2\)), the boundary line should be a dashed line.

Step2: Determine the region to shade

For the inequality \( x > -2 \), we need to shade the region to the right of the line \( x=-2 \). In the coordinate plane, all the points with \( x\) - coordinate greater than - 2 satisfy the inequality. So we draw a dashed vertical line at \( x = - 2\) and shade the area to the right of this line.

(Note: Since this is a graphing problem, the actual graphing would involve using the tools provided. The dashed line at \( x=-2\) and shading the region \( x > - 2\) (the area to the right of \( x=-2\)) is the correct graphical representation.)

Answer:

The graph should have a dashed vertical line at \( x=-2\) and the region to the right of this line (where \( x > - 2\)) should be shaded.