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 Description  
 Graph of an Linear Inequality:  The solutions of a linear inequality; they form a half-plane on one side of a line and may or may not also form the line itself.

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 half-plane 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 half-plane 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.