Here are a couple of examples: The following example is the graph of the inequality y < x + 2. In other words, any point in the green halfplane is a solution to the inequality. Notice the line y = x + 2 is NOT included in the graph (because there are no equal marks in the inequality), meaning that points that fall on the line are NOT solutions to the inequality. The following example is the graph of the inequality y x + 2. In other words, any point in the yellow halfplane is a solution to the inequality. Notice the line y = x + 2 IS included in the graph (because there are equal marks in the inequality), meaning that points that fall on the line are ALSO solutions to the inequality.
