Inequalities

Further Mathematics S.S.S 3 First Term

WEEK 11

Inequalities

Performance Objectives

Students should be able to:

1. Solve quadratic inequalities
2. Solve inequalities in two dimensions.

Content

Quadratic Inequality

A quadratic inequality is an inequality in which one side is a quadratic polynomial and the other side is zero

A quadratic inequality can take any of the following forms:

1. ax² + bx + c > 0

2. ax² + bx + c < 0

3. ax² + bx + c ≥ 0

4. ax² + bx + c ≤ 0

Example 1

Solve the inequality

X² + 2x - 8 ≤ 0

Solution

Step 1

First find the zeros

x² + 2x - 8 = 0

…