9/x-52003

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Solution for 9/x-52003 equation:


D( x )

x = 0

x = 0

x = 0

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

9/x-5 < 2003 // - 2003

9/x-2003-5 < 0

9*x^-1 < 2008

9*x^-1 < 2008 // : 9

x^-1 < 2008/9

1/(x^1) < 2008/9

x <> 0

1/(x^1) < 2008/9 // * x^2

(x^2)/(x^1) < 2008/9*x^2

x^1 < 2008/9*x^2

x-2008/9*x^2 < 0

x^1*(1-2008/9*x) < 0

x < 0

-(abs(x))^1*(2008/9*(abs(x))^1+1) < 0 // : -(abs(x))^1

2008/9*(abs(x))^1+1 > 0

2008/9*(abs(x))^1 > -1 // : 2008/9

(abs(x))^1 > -1/2008/9

(abs(x))^1 > -9/2008 // ^ 1/1

abs(x) > (-9/2008)^(1/1)

abs(x) > -9/2008

x in (-oo:0)

x < 0

x > 0

x^1*(1-(2008/9*x^1)) < 0 // : x^1

1-(2008/9*x^1) < 0

1 < 2008/9*x^1 // : 2008/9

1/2008/9 < x^1 // ^ 1/1

(1/2008/9)^(1/1) < x

x in (9/2008:+oo)

x > 0

x in (-oo:0) U (9/2008:+oo)

x in (-oo:0) U (9/2008:+oo)

(-oo:0) U (9/2008:+oo)

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