5/x1

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Solution for 5/x1 equation:


D( x )

x = 0

x = 0

x = 0

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

5/x < 1 // - 1

5/x-1 < 0

5*x^-1 < 1

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

x^-1 < 1/5

1/(x^1) < 1/5

x <> 0

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

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

x^1 < 1/5*x^2

x-1/5*x^2 < 0

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

x < 0

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

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

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

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

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

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

abs(x) > -5

x in (-oo:0)

x < 0

x > 0

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

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

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

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

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

x in (5:+oo)

x > 0

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

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

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

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