1/x-90

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Solution for 1/x-90 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1/x-9 > 0

1*x^-1 > 9

1*x^-1 > 9 // : 1

x^-1 > 9/1

x^-1 > 9

1/(x^1) > 9

x <> 0

1/(x^1) > 9 // * x^2

(x^2)/(x^1) > 9*x^2

x^1 > 9*x^2

x-9*x^2 > 0

x^1*(1-9*x) > 0

x < 0

-(abs(x))^1*(9*(abs(x))^1+1) > 0 // : -(abs(x))^1

9*(abs(x))^1+1 < 0

9*(abs(x))^1 < -1 // : 9

(abs(x))^1 < -1/9

(abs(x))^1 < -1/9 // ^ 1/1

abs(x) < (-1/9)^(1/1)

abs(x) < -1/9

x belongs to the empty set

x < 0

x > 0

x^1*(1-(9*x^1)) > 0 // : x^1

1-(9*x^1) > 0

1 > 9*x^1 // : 9

1/9 > x^1 // ^ 1/1

(1/9)^(1/1) > x

x in (0:1/9)

x > 0

x in (0:1/9)

x in (0:1/9)

(0:1/9)

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