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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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