SS3 Second Term Further Mathematics Lesson Note – Inequalities

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WEEK 3

TOPIC:  INEQUALITIES

CONTENT:

• SOLVE QUADRATIC INEQUALITIES
• SOLVE INEQUALITIES IN TWO DIMENSIONS

SUB-TOPIC: – QUADRATIC INEQUITIES

Inequalities of the form  or  are called quadratic inequalities. We can solve this form of inequality in two ways.

Method 1

___First factorize the quadratic expression on the left hand side then,

___Consider the following

• If then either  and
• If then either    or

Method II – Graphical method

___Sketch the graph of

___Consider the points where the graph cuts the x-axis (these are the points or the zeros of (f(x))

___ Select the region below the x-axis (positive part) or the region below the x-axis (negative part)

Example 1: Solve the following inequalities for x

• (x+4)(x-3)< 0
• 2( )

SOLUTION

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