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27 Feb 2016, 23:48
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
37% (02:20) correct
63%
(02:12)
wrong
based on 30
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How many integers satisfy the inequality \(\frac{|x|(x+2)^2(x+5)^3(x−1)^4}{(x-5)^5}\) <0, given that \(x\neq{5}\)?
A 4
B 5
C 6
D 9
E 10
A 4
B 5
C 6
D 9
E 10
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28 Feb 2016, 05:16
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whitehalo
How many integers satisfy the inequality \(\frac{|x|(x+2)^2(x+5)^3(x−1)^4}{(x-5)^5}\) >0?
A 4
B 5
C 6
D 9
E 10
A 4
B 5
C 6
D 9
E 10
Hi,
you may have to look into the Q and choices again...
Either there is some typo error or the Q is wrong
In \(\frac{|x|(x+2)^2(x+5)^3(x−1)^4}{(x-5)^5}\) >0, all values apart from the ones with odd power will always be positive or 0..
the way Q is any value between -5 and 5 will not be the answer and any value beyond that will be the answer..
for example x=6..
\(\frac{|6|(6+2)^2(6+5)^3(6−1)^4}{(6-5)^5}\) >0..
what the Q should be is |x|(x+2)^2(x+5)^3(x−1)^4/(x-5)^5[/fraction][/m]
here all values between -5 and 5 apart from 1,0,-2,-5, where the value of eq will be 0 and at 5, where the eq becomes undefined..
so from 5 to -5, 11 integers are there, out of which 5 cannot be the answer, so 11-5=6 is the answer..
I am editing the Q and adding the required info that \(x\neq{5}\)..
If any query, please revert..
22 Mar 2016, 23:03
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Answer C: the values for x when the equation is satisfied are : -4, -3, -1, 2, 3, 4.
for values x <-5 and x>5 the equation is not satisfied it comes to be positive
for x = -5, -2, 0, 1 the numerator is 0
for x = 5 the denom is 0 N.D.
for values x <-5 and x>5 the equation is not satisfied it comes to be positive
for x = -5, -2, 0, 1 the numerator is 0
for x = 5 the denom is 0 N.D.
