9/x-4-6

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Solution for 9/x-4-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x-4 > -6 // + 6

9/x-4+6 > 0

9*x^-1 > -2

9*x^-1 > -2 // : 9

x^-1 > -2/9

1/(x^1) > -2/9

x <> 0

1/(x^1) > -2/9 // * x^2

(x^2)/(x^1) > -2/9*x^2

x^1 > -2/9*x^2

2/9*x^2+x > 0

x^1*(2/9*x+1) > 0

x < 0

-(abs(x))^1*(1-2/9*(abs(x))^1) > 0 // : -(abs(x))^1

1-2/9*(abs(x))^1 < 0

-2/9*(abs(x))^1 < -1 // : -2/9

(abs(x))^1 > -1/(-2/9)

(abs(x))^1 > 9/2 // ^ 1/1

abs(x) > (9/2)^(1/1)

abs(x) > 9/2

x in (-oo:-9/2)

x < 0

x > 0

x^1*(1-(-2/9*x^1)) > 0 // : x^1

1-(-2/9*x^1) > 0

1 > -2/9*x^1 // : -2/9

1/(-2/9) < x^1 // ^ 1/1

(1/(-2/9))^(1/1) < x

x in (0:+oo)

x > 0

x in (-oo:-9/2) U (0:+oo)

x in (-oo:-9/2) U (0:+oo)

(-oo:-9/2) U (0:+oo)

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