the inequality |x|^2-|x|-2 / 2|x|-|x|^2-20 hold in which of the following intervals a.-2

Question

the inequality |x|^2-|x|-2 / 2|x|-|x|^2-2>0 hold in which of the following intervals
a.-2<x<-2/3
b.-2/3<x<2
c.-1<x<1
d.x ∈(-∞,∞)

tkhunny · Answer

Do you mean $\dfrac{|x|^{2} - |x| - 2}{2|x| - |x|^{2} - 2}$?  That is NOT what you have written.

samigupta8 · Answer

yaaa

samigupta8 · Answer

that's a rryt form of it

tkhunny · Answer

Let's remember the Order of Operations, please. Parentheses help a lot! The crux of this problem is two-fold. 1) $|x|^{2} = x^{2}$ in every respect for Real Numbers. Rewrite it in the simpler form and just be done with it. 2a) For x >= 0, |x| = x. Make this substitution and see if the inequality works for x > 0 2b) For x < 0, |x| = -x. Make this substitution and see if the inequality works for x < 0

samigupta8 · Answer

hey but the answer is not cuming anyway i did it...