Dr. Fraser covers this last lecture of the Inequalities section with Graphing Systems of Inequalities. He first covers what exactly are systems of inequalities and then moving into solving them with graphing each inequality and finding the area of overlap.
A system of
inequalities is two inequalities in the same two variables. The
solution is the set of all ordered pairs that satisfy both
To solve a system
of inequalities, graph each inequality. The solution of the system
is the intersection of the graphs of the inequalities.
intersection is empty, the system has no solution.
In certain real
world problems, only solutions that are positive numbers or integers
Graphing Systems of Inequalities
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.