2. To solve a rational inequality, we factor the numerator and the denominator into irreducible factors. The cut points are the real of the numerator and the real. denominator. Then we find the intervals determined by the -, and we use test points to find the sign of the rational function on each interval. Let (x + 2)(x – 1) r(x) = (x – 3)(x + 4) Fill in the diagram below to find the intervals on which r(x) 2 0. 3 Sign of x + 2 x - 1 x - 3 x + 4 (x + 2)(x – 1) (x – 3)(x + 4) From the diagram we see that r(x) 2 0 on the intervals , and
2. To solve a rational inequality, we factor the numerator and the denominator into irreducible factors. The cut points are the real of the numerator and the real. denominator. Then we find the intervals determined by the -, and we use test points to find the sign of the rational function on each interval. Let (x + 2)(x – 1) r(x) = (x – 3)(x + 4) Fill in the diagram below to find the intervals on which r(x) 2 0. 3 Sign of x + 2 x - 1 x - 3 x + 4 (x + 2)(x – 1) (x – 3)(x + 4) From the diagram we see that r(x) 2 0 on the intervals , and
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
To solve a rational inequality, we factor the numerator and
the denominator into irreducible factors. The cut points are
the real of the numerator and the real
denominator. Then we find the intervals determined by the
, and we use test points to find the sign
of the rational function on each interval. Let
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