O POLYNOMIAL AND RATIONAL FUNCTIONS Solving a polynomial inequality: Problem type 1 Solve the following inequality (x+4) (x+9)(5 x)<0 Write your answer as an interval or union of intervals. If there is no real solution, click on "No solution". (0,D) O No Solution ? X

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CR: Chapter Review
Problem 14CC
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O POLYNOMIAL AND RATIONAL FUNCTIONS
Solving a polynomial inequality: Problem type 1
Solve the following inequality
(x+4) (x+9)(5 x)<0
Write your answer as an interval or union of intervals.
If there is no real solution, click on "No solution".
(0,D) O
No
Solution
?
X
Transcribed Image Text:O POLYNOMIAL AND RATIONAL FUNCTIONS Solving a polynomial inequality: Problem type 1 Solve the following inequality (x+4) (x+9)(5 x)<0 Write your answer as an interval or union of intervals. If there is no real solution, click on "No solution". (0,D) O No Solution ? X
Expert Solution
Step 1

Consider the given inequality

 

(x+4) (x+9)(5-x)<o
0
Step 2

Now this inequality become zero

x4 0
x -4
x -9
5-x 0
Step 3

Now substitute these value one by one and check the inequality hold or not

Then

Substitute any value  x<-9 then

(x+4)(x+9)(5-x)< 0
(-10+4)-10+9)(5+10) < 0
(-6)(-1) (15)<0
90 0
Not hold so for x<-9 inequality not true
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