3.6 Quadratic Inequalities

Solving Quadratic Inequality

  1. The solution of the quadratic inequalities are the ranges of values which satisfied the inequalities itself. 
  2. There are 2 methods to solve the inequalities. 
    1. Graph method
    2. Number line method


Step to solve a Quadratic Inequalities
Step 1 : Rewrite the inequality with zero on one side and make sure a > 0
Step 2 : Find where it crosses the x-axis  (Put y = 0)
Step 3 : Sketch the graph and shade the region to find the range of values of  x



Example 
Find the range of values of x for each of the following :
(a) x 2 4 x + 3 < 0
(b) 12 + 10 x 2 x 2 < 0





Revision – Linear Inequality



Solving Quadratic Inequality – Graph Method



Solving Quadratic Inequality – Number Line Method

Suggested Video

Solving Quadratic Inequalities – The Basics

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