Graph the inequality x + 1 < y.
First we graph the line x + 1 = y using a dotted line since we have a strict inequality. No, we don't care if your line is dotted or dashed. As long as it isn't made up of a string of tiny hearts.
Next, we pick a point on one side of the line. Again, (0, 0) is a good one to use. When x and y are both zero, the inequality is not satisfied, so we shade in the area on the other side of the line: