Shading half of the plane to show the solution set.
Boundary Line
To graph the inequality, we have to draw the boundary line. The equation of a boundary line is written by replacing the inequality symbol from the inequality with an equals sign.
Inequality
Boundary line
x> -2
x=-2
Notice that the equation for this boundary line only has one variable. This equation is telling us that each and every point that lies on the line will have an x-coordinate equal to -2. This gives us a vertical line. Also, the inequality is strict, so the points on the boundary line are not included in the solution set. We show this by drawing a dashed line.
Shading the Plane
The inequality x>- 2 describes all values of x that are greater than - 2. This means that every possible (x,y) coordinate pair with an x-value that is greater than - 2 needs to be included in the shading.
