Question
Asked Sep 26, 2019

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POLYNOMIAL AND RATIONAL FUNCTIONS
Solving a polynomial inequality: Problem type 1
Solve the following inequality.
(x-2) x+4) (x+7) <o
Write your answer as an interval or union of intervals.
If there is no real solution, click on "No solution".
(0,O)
No
-OO
Solution
?
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POLYNOMIAL AND RATIONAL FUNCTIONS Solving a polynomial inequality: Problem type 1 Solve the following inequality. (x-2) x+4) (x+7) <o Write your answer as an interval or union of intervals. If there is no real solution, click on "No solution". (0,O) No -OO Solution ?

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Expert Answer

Step 1

The given inequality is:

(x-2)(x+4)(x+7)<o
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(x-2)(x+4)(x+7)<o

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Step 2

To find solution of this inequality, equate (x-2)(x+4)(x+7)=0 then

we have,

(x-2)x+7(x+4)=0
(x-2)0.(x+7) 0 or (x+4)0
x 2,x -7 or x = -4
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(x-2)x+7(x+4)=0 (x-2)0.(x+7) 0 or (x+4)0 x 2,x -7 or x = -4

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Step 3

Now, put this value of x in the real line t...

-4
2
-7
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-4 2 -7

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Math

Calculus