Dr. Pellumb Kllogjeri
Quadratic Inequalities in One Variable
Example 1
Solve 2x2 + 4x > x2 x 6.
The two associated two-variable equations in this case are y = 2x2 +
4x and y = x2 x 6.
This inequality
Dr. Pellumb Kllogjeri
Quadratic Inequalities in Two Variables
Example 9
a) Determine the inequality for the region shaded in the following figure.
b) Determine the inequality for the region shaded in
Dr. Pellumb Kllogjeri
Quadratic Inequalities in Two Variables
Example 4
Show algebraically the solution of shaded area in the figure.
Show algebraically the solution of shaded area in the figure.
Exam
Dr. Pellumb Kllogjeri
Quadratic Inequalities in Two Variables
Example 6
a) Determine the inequality for the region shaded in the following figure.
Example 7
a) Determine the inequality for the region
Dr. Pellumb Kllogjeri
Quadratic Inequalities in One Variable
Example 2
Solve x2 + x + 1 > 0.
First, let find the zeroes:
Since there is a negative inside the square root, there must not be any xinterc
Dr. Pellumb Kllogjeri
Quadratic Inequalities in Two Variables
Example 11
What is the inequality representing the region shaded in the following figure?
Example 12
Solve geometrically the inequality:
S