Quadratic inequalities in one variable are
inequalities which can be written in one of
where a, b and c are real numbers.
Solving Quadratic Inequalities
1. Move all terms to one side.
Example 1 Solve the inequality, x^2 > x + 2 .
The corresponding equation is (x - 2)(x + 1) = 0 so…
Now we test one point in each region.
So the solution to this inequality is x < -1 or x > 2.
Example 2 Solve the inequality,
The corresponding equation is (x - 1)(x - 5) = 0 so…
Now we check one point in each region.
So the solution to this inequality is 1 ≤ x ≤ 5.
§4-2 PROBLEM SET
Solve each quadratic inequality, and graph the solution on a number line.
§4-2 PROBLEM SOLUTIONS