(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

F(x) = (8-12ln|x|)/(x^4) > 0

(a) For what values of x is the expression F(x) defined?

Write your answer in interval notation.

(b) At what value(s) of x is the expression F(x) equal to zero?

If there is more than one answer separate them by commas.

(c) The set of all real numbers x for which the expression

F(x) is defined and non-zero can be written as the union of several

mutually disjoint open intervals. Find this set and express

it as such union.

(d) By analyzing the sign of F(x) on the above open intervals,

solve the inequality expressing your answer in interval notation.

2. The attempt at a solution

now for (a), i guess since we have |x|, so the domain would be (-inf,0)U(0,inf)

for (b), i got ln|x| = 2/3 or |x| = e^(2/3) how to get rid of ||?

(c) .. no idea. and (d) is based on (c).

Please HELP!!

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# Homework Help: A natural log inequality with absolute value

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