(1/x)-50

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Solution for (1/x)-50 equation:


D( x )

x = 0

x = 0

x = 0

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

1/x-5 < 0

1*x^-1 < 5

1*x^-1 < 5 // : 1

x^-1 < 5/1

x^-1 < 5

1/(x^1) < 5

x <> 0

1/(x^1) < 5 // * x^2

(x^2)/(x^1) < 5*x^2

x^1 < 5*x^2

x-5*x^2 < 0

x^1*(1-5*x) < 0

x < 0

-(abs(x))^1*(5*(abs(x))^1+1) < 0 // : -(abs(x))^1

5*(abs(x))^1+1 > 0

5*(abs(x))^1 > -1 // : 5

(abs(x))^1 > -1/5

(abs(x))^1 > -1/5 // ^ 1/1

abs(x) > (-1/5)^(1/1)

abs(x) > -1/5

x in (-oo:0)

x < 0

x > 0

x^1*(1-(5*x^1)) < 0 // : x^1

1-(5*x^1) < 0

1 < 5*x^1 // : 5

1/5 < x^1 // ^ 1/1

(1/5)^(1/1) < x

x in (1/5:+oo)

x > 0

x in (-oo:0) U (1/5:+oo)

x in (-oo:0) U (1/5:+oo)

(-oo:0) U (1/5:+oo)

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