To graph the inequality, we have to draw the boundary line. The equation of a boundary line is written by replacing the inequality symbol with an equals sign.
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Inequality & Boundary Line
y > -4 & y = -4
The equation for this boundary line only has one variable. This equation is telling us that all the points that lie on the line will have a y-coordinate equal to -4. This means that it is a horizontal line. Additionally, the inequality is strict. Therefore, 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 y>- 4 describes all values of y that are greater than - 4. This means that every possible (x,y) coordinate pair with a y-value that is greater than -4 needs to be included in the shading.
