3/-x5

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Solution for 3/-x5 equation:


D( x )

-x = 0

-x = 0

x = 0

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

3/(-x) < 5 // - 5

3/(-x)-5 < 0

-3*x^-1 < 5

-3*x^-1 < 5 // * -1

3*x^-1 > -5

3*x^-1 > -5 // : 3

x^-1 > -5/3

1/(x^1) > -5/3

x <> 0

1/(x^1) > -5/3 // * x^2

(x^2)/(x^1) > -5/3*x^2

x^1 > -5/3*x^2

5/3*x^2+x > 0

x^1*(5/3*x+1) > 0

x < 0

-(abs(x))^1*(1-5/3*(abs(x))^1) > 0 // : -(abs(x))^1

1-5/3*(abs(x))^1 < 0

-5/3*(abs(x))^1 < -1 // : -5/3

(abs(x))^1 > -1/(-5/3)

(abs(x))^1 > 3/5 // ^ 1/1

abs(x) > (3/5)^(1/1)

abs(x) > 3/5

x in (-oo:-3/5)

x < 0

x > 0

x^1*(1-(-5/3*x^1)) > 0 // : x^1

1-(-5/3*x^1) > 0

1 > -5/3*x^1 // : -5/3

1/(-5/3) < x^1 // ^ 1/1

(1/(-5/3))^(1/1) < x

x in (0:+oo)

x > 0

x in (-oo:-3/5) U (0:+oo)

x in (-oo:-3/5) U (0:+oo)

(-oo:-3/5) U (0:+oo)

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