1/x>1/3,
x≠0,
1/x-1/3>0,
(3-x)/(3x)>0,
3x(3-x)>0,
x(3-x)>0,
3-x=0, x=3,
0<x<3,
x∈(0;3)
(x^2-36)/(x^2+6x)<0,
x^2+6x≠0, x(x+6)≠0, x≠0, x≠-6,
(x-6)(x+6)/(x(x+6))<0,
(x-6)/x<0,
x(x-6)<0,
x-6=0, x=6,
0<x<6,
x∈(0;6);
(x-1)/(x-5)>2,
x-5≠0, x≠5,
(x-1)/(x-5)-2>0,
(x-1-2x+10)/(x-5)>0,
(9-x)/(x-5)>0,
(x-5)(9-x)>0,
(x-5)(x-9)<0,
x-9=0, x=9,
5<x<9,
x∈(5;9);
(x-1)/(x+3)>3,
x+3≠0, x≠-3,
(x-1)/(x+3)-3>0,
(x-1-3x-9)/(x+3)>0,
(-2x-10)/(x+3)>0,
(x+5)/(x+3)<0,
(x+3)(x+5)<0,
x+5=0, x=-5,
-5<x<-3,
x∈(-5;-3)
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