This presentation explains how to solve quadratic, fractional and irrational inequalities.

1. Inequalities
Quadratic, Fractional
and
Irrational Inequalities

2. To solve more complicated inequalities,
use the following procedure:
• Make the RHS zero by shifting all terms to the LHS.
• Fully factorise the LHS to get critical values.
• Draw sign diagram for the LHS.
• Determine the values required from the sign diagram.

3. Quadratic Inequalities
Find the range of x for
making RHS zero
fully factorise LHS
find the critical values
draw sign diagram
-2
determine the
values

4. Find the range of values of x of the
following inequalities

5. Fractional Inequalities
Find the range of x for
making RHS zero
Simplify the equation
find the critical values
draw sign diagram
-3 4
determine the
values

6. Find the range of values of x of the
following inequalities

7. Irrational Inequalities
Find the range of x for
Square both sides
making RHS zero
Meeting the
requirement
draw sign diagram
Find common
solution

8. Find the range of values of x of the
following inequalities