x^2-2x>0

Factorize x:

x(x-2)>0

==> x>0 and (x-2)>0

==> x>0 and x>2 or x belongs to (2,inf.)...(1)

OR:

x<0 and (x-2)>0

==> x<0 and x<2 or x belong to (-inf,0)...(2)

Then from (1) and (2) :

x belongs to R-[0,2]

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