menu
bartleby
search
close search
Hit Return to see all results

O POLYNOMIAL AND RATIONAL FUNCTIONSSolving a polynomial inequality: Problem type 1Solve the following inequality.(x+6) (1-x)(x-4)>0Write your answer as an interval or union of intervals.If there is no real solution, click on "No solution"(0,D)(O,O,OOVONoSolution?X

Question

see attachment

O POLYNOMIAL AND RATIONAL FUNCTIONS
Solving a polynomial inequality: Problem type 1
Solve the following inequality.
(x+6) (1-x)(x-4)>0
Write your answer as an interval or union of intervals.
If there is no real solution, click on "No solution"
(0,D)
(O,O,OOVO
No
Solution
?
X
help_outline

Image Transcriptionclose

O POLYNOMIAL AND RATIONAL FUNCTIONS Solving a polynomial inequality: Problem type 1 Solve the following inequality. (x+6) (1-x)(x-4)>0 Write your answer as an interval or union of intervals. If there is no real solution, click on "No solution" (0,D) (O,O,OOVO No Solution ? X

fullscreen
check_circleAnswer
Step 1

Solve the given ineqality and compute the solution set as follows.

x+6(1-x)(x-4)>0
f(x)0, where
Note that, the above inequality is in the form
of
f (x)=(x+6)(1-x)(x-4)
help_outline

Image Transcriptionclose

x+6(1-x)(x-4)>0 f(x)0, where Note that, the above inequality is in the form of f (x)=(x+6)(1-x)(x-4)

fullscreen
Step 2

Solve the equation f (x...

Solve the equation (x +6)(1-x)(x-4) 0 and find the x-intercept point as below
(x+6)(1-x)(x-4)0
That is, x 6,x = 1 andx = 4
Thus, the boundary points
are-6,1 and 4
help_outline

Image Transcriptionclose

Solve the equation (x +6)(1-x)(x-4) 0 and find the x-intercept point as below (x+6)(1-x)(x-4)0 That is, x 6,x = 1 andx = 4 Thus, the boundary points are-6,1 and 4

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Other

Sorry about that. What wasn’t helpful?