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Solve the inequality #-1/2<x^3/(1+x^6)#?

1 Answer

Jun 4, 2018

#(x^3+1)^2>0# and #xne-1#

Explanation:

Multiplying by#1+x^6>0#
we get
#-1-x^6<2x^3#
so we have
#0<x^6+2x^3+1#
this is
#(x^3+1)^2>0# for #xne-1#

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