Yes, the values you give are correct but the graph has to include **non** integers, rational and irrational numbers as well.

The graph of the **equation**, y= x+1, is a straight line. On that line, when x= 0, y= 1 and when y= 0, x= -1. The graph of y= x+1 is the straight line through (0, 1) and (-1, 0).

The reason you should graph that line first is that it forms the **boundary** of the points that satisfy y< x+ 1. Obviously that line divides all of \(\displaystyle R^2\) into two subsets. The points that satisfy y< x+ 1 is one of the two subsets on either side of the line. Choose a point on each side of the line to determine which side satifies the inequality.

Also, because this is y< x+ 1, rather than \(\displaystyle y\le x+1\), you **don't** want to include the line itself in the graph. One way to indicate that is to use a dashed line rather than a full line.