We are given the following linear inequality.
y < - x+1
We are asked to describe and correct the error in graphing the inequality. To do so, we will graph the inequality and compare the result with the graph given in the exercise. Let's start graphing the given inequality by drawing the boundary line. This line is described by the equation y=- x+1. Note that since the inequality is strict, the boundary line will be dashed.
Let's now use (0,0) as a test point to check whether the shaded half-plane is correct.
Since the test point produced a true statement, we will shade the region that contains (0,0). Let's do it!
We can see that our graph is almost the same as the given graph. The difference is that our boundary line is dashed and the one in the given graph is solid. That is the error.
