X hits on this document

# Module 2 28 - page 11 / 12

588 views

0 shares

11 / 12

Module 2                                                                                                                             38

d.  Graph P(t).

# Polynomial and Rational Inequalities

Solve the following polynomial inequalities by first writing them in general form, factoring (if needed) to identify boundary points, drawing a number line with boundary points labeled, and testing each interval.  Express the solution in interval notation.

1.  x2 > 7x

2.  12x2 < 37x + 10

3.  (x + 2)(x – 5)(x + 7) ≤ 0

Solve the following rational inequalities by first writing them as a single simplified rational expression on one side and zero on the other side of the inequalities. Identify the boundary points by labeling them on a number line and then testing the intervals.  Express the solution in interval notation.

4.

5.

6.

Applications

7.  The profit from selling x pieces of handmade jewelry can be modeled by the

equation P(x) = –x2 + 130x – 3000.  What is the range of profitable orders (P(x) > 0)?

8.  The difference between the value of a piece of equipment and what is owed on it is

modeled by the expression  d(x) = , where x is the number of years since

the equipment was purchased.  When does the amount owed exceed the value of

 Document views 588 Page views 789 Page last viewed Tue Jan 24 05:18:57 UTC 2017 Pages 12 Paragraphs 259 Words 1977