3.4 Quadratic Inequalities (Part 2)

(C) Linear Inequality

Example 1:

1. Given$x=\frac{6-y}{3}$find the range of values of x for which y > 9.
   
2. Given 2x + 3y – 6 =0, find the range of values of x for which y < 4.

Solution:

(D) Quadratic Inequality

Example 2:

Find the range of values of x which satisfy the following inequalities:

1. (2x + 1) (3x – 1) < 14
   
2. (x – 2) (5x – 4) + 1 > 0

Solution: