1/(9x)1

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Solution for 1/(9x)1 equation:


D( x )

9*x = 0

9*x = 0

9*x = 0

9*x = 0 // : 9

x = 0

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

1/(9*x) < 1 // - 1

1/(9*x)-1 < 0

1/9*x^-1 < 1

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

x^-1 < 1/1/9

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 in (-oo:0)

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 (1/9:+oo)

x > 0

x in (-oo:0) U (1/9:+oo)

x in (-oo:0) U (1/9:+oo)

(-oo:0) U (1/9:+oo)

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