3.4 Quadratic Inequalities (Part 2)

(C) Linear Inequality 

Example 1
(a)  Given x = 6 y 3  , find the range of values of x for which y > 9 .
(b) Given 2 x + 3 y 6 = 0  , find the range of values of x for which y < 4 .






(D) Quadratic Inequalities 

Example 2
Find the range of values of x which satisfy  the following inequalities:
(a) (2x + 1) (3x – 1) < 14
(b) (x– 2) (5x – 4) + 1 > 0