The solutions to the inequality y s -x+ 1 are shaded on the
graph. Which point is a solution?
(2,3)
(3,-2)
(2, 1)
(-1,3)

  (3, -2)

Step-by-step explanation:

A point is a solution when it falls on the solid line or in the shaded area. The point (3, -2) is a solution.

There are two ways to confirm this is the answer. The first is to note that (3,-2) is on the boundary, so it is part of the solution set. This only works if the boundary line is a solid line (as opposed to a dashed or dotted line).

The second way is to plug (x,y) = (3,-2) into the given inequality to find that

which is a true statement. So this confirms that (3,-2) is in the solution set of the inequality.