5.2 Systems of Linear Inequalities in Two Variables

Question 1

What is the purpose of solving a system of Inequalities graphically?

Answer 1

We wish to solve such systems graphically—that is, to find the graph of all ordered
pairs of real numbers (x, y) that simultaneously satisfy all the inequalities in the system. The graph is called the solution region for the system (the solution region is also known as the feasible region).

Question 2

How do we find the solution region?

Answer 2

To find the solution region, we graph each
inequality in the system and then take the intersection of all the graphs. To simplify
the discussion that follows, we consider only systems of linear inequalities where
equality is included in each statement in the system.

Question 3

How can we check the graphical solution?

Answer 3

Question 4

What is a corner point?

Answer 4

Question 5

What are bounded and unbounded solution regions?

Answer 5