Answer:
See attached picture.
Step-by-step explanation:
To graph the inequality, use the y = mx + b form for linear equations. Here y > -x + 3 has slope of -1 and y-intercept of 3. Plot a point at (0,3) and move down 1 unit and 1 unit to the right. Plot a new point at (1,2). Connect the points with a dashed line. A dashed line is used for all inequalities which are not equal to. Finally, shade one side of the line. To determine which side, test a point not on the line. Shade the side which makes the inequality true.
y > -x + 3 test (0,0)
0 > -0 + 3
0 > 3 is false
Shade the side that does not have (0,0).
