-5/x-7-5

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Solution for -5/x-7-5 equation: 


D( x )

x = 0

x = 0

x = 0

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

-5/x-7 < -5 // + 5

5-5/x-7 < 0

-5*x^-1 < 2

-5*x^-1 < 2 // * -1

5*x^-1 > -2

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

x^-1 > -2/5

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

x <> 0

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

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

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

2/5*x^2+x > 0

x^1*(2/5*x+1) > 0

x < 0

-(abs(x))^1*(1-2/5*(abs(x))^1) > 0 // : -(abs(x))^1

1-2/5*(abs(x))^1 < 0

-2/5*(abs(x))^1 < -1 // : -2/5

(abs(x))^1 > -1/(-2/5)

(abs(x))^1 > 5/2 // ^ 1/1

abs(x) > (5/2)^(1/1)

abs(x) > 5/2

x in (-oo:-5/2)

x < 0

x > 0

x^1*(1-(-2/5*x^1)) > 0 // : x^1

1-(-2/5*x^1) > 0

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

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

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

x in (0:+oo)

x > 0

x in (-oo:-5/2) U (0:+oo)

x in (-oo:-5/2) U (0:+oo)

(-oo:-5/2) U (0:+oo)

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