Question

Please help me on this one , seriously need help ,getting an incorrect answer
\[\Large \frac{ (x-4)^{2005}(x+8)^{2008}(x+1) }{ x ^{2006}(x-2)^{3}(x+3)^{5}(x-6)(x+9)^{2010} } \le 0 \]
HELLP

Answer 1

Let's break this shi*t into bits

Answer 2

So we will first find the critical points right

Answer 3

Hmm wait what exactly are we trying to find, all possible values of x?

Answer 4

Critical points:-
Nuymerator: 4 , -8 , -1
Denominator: 0, 2 ,-3 , 6 , -9
Yes

Answer 5

Cool enough?

Answer 6

@Kainui

Answer 7

are you there @Kainui

Answer 8

The thing on the left is some function's derivative?

Answer 9

Ok I see what you're doing. I'm just really tired and sort of out of it, not really on OS it's just open I'm afraid to say.

Answer 10

we have to use wavy-curve method

Answer 11

no problem

Answer 12

@ganeshie8 @SithsAndGiggles

Answer 13

So you're just solving the inequality? The comment about critical points is kind of misleading

Answer 14

Find the domain of x , in math terms

Answer 15

what values x can take to satisfy the given inequality

Answer 16

Right... so the solution set to the inequality.

Answer 17

you may ignore the even exponents as they are not useful for signs

Answer 18

cant you just plug in points on either side of critical points (-8,-1,4) and see where function is less than 0

Answer 19

My main problem is would the expression be
Positive or negative , by plugging 6
that is creating a big nuisancece

Answer 20

nuisance*

Answer 21

just try x=5 instead, x=6 is asymptote which goes to +- infinity

Answer 22

How do i represent it on a number line