15/x5/3

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Solution for 15/x5/3 equation:


D( x )

x = 0

x = 0

x = 0

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

15/x < 5/3 // - 5/3

15/x-(5/3) < 0

15/x-5/3 < 0

15*x^-1 < 5/3

15*x^-1 < 5/3 // : 15

x^-1 < 5/3/15

x^-1 < 1/9

1/(x^1) < 1/9

x <> 0

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

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

x^1 < 1/9*x^2

x-1/9*x^2 < 0

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

x < 0

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

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

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

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

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

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

abs(x) > -9

x in (-oo:0)

x < 0

x > 0

x^1*(1-(1/9*x^1)) < 0 // : x^1

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

1 < 1/9*x^1 // : 1/9

1/1/9 < x^1 // ^ 1/1

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

x in (9:+oo)

x > 0

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

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

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

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