MA112
Fall 2010
Dr. Byrne
Worksheet 4.6: Solving Polynomial and Rational Inequalities
1. Solve
4x
0.
( x  9)( x  3)
(1) Identify all zeros and undefined points where the sign of
the function could change.
Check by sketching the graph:
(2) Check each of these intervals on the real line with a test
point.
(3) Describe the intervals that satisfy the inequality in
interval notation.
Solve x  2 
12
.
x
Solve x 3  3x 2  6 x  8 .
Solve
2x
x

.
11x  7 x  2