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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
(5*x)/(x^2) > 100 // - 100
(5*x)/(x^2)-100 > 0
5*x^-1 > 100
5*x^-1 > 100 // : 5
x^-1 > 100/5
x^-1 > 20
1/(x^1) > 20
x <> 0
1/(x^1) > 20 // * x^2
(x^2)/(x^1) > 20*x^2
x^1 > 20*x^2
x-20*x^2 > 0
x^1*(1-20*x) > 0
x < 0
-(abs(x))^1*(20*(abs(x))^1+1) > 0 // : -(abs(x))^1
20*(abs(x))^1+1 < 0
20*(abs(x))^1 < -1 // : 20
(abs(x))^1 < -1/20
(abs(x))^1 < -1/20 // ^ 1/1
abs(x) < (-1/20)^(1/1)
abs(x) < -1/20
x belongs to the empty set
x < 0
x > 0
x^1*(1-(20*x^1)) > 0 // : x^1
1-(20*x^1) > 0
1 > 20*x^1 // : 20
1/20 > x^1 // ^ 1/1
(1/20)^(1/1) > x
x in (0:1/20)
x > 0
x in (0:1/20)
x in (0:1/20)
(0:1/20)
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