18/x-46

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Solution for 18/x-46 equation:


D( x )

x = 0

x = 0

x = 0

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

18/x-4 < 6 // - 6

18/x-6-4 < 0

18*x^-1 < 10

18*x^-1 < 10 // : 18

x^-1 < 10/18

x^-1 < 5/9

1/(x^1) < 5/9

x <> 0

1/(x^1) < 5/9 // * x^2

(x^2)/(x^1) < 5/9*x^2

x^1 < 5/9*x^2

x-5/9*x^2 < 0

x^1*(1-5/9*x) < 0

x < 0

-(abs(x))^1*(5/9*(abs(x))^1+1) < 0 // : -(abs(x))^1

5/9*(abs(x))^1+1 > 0

5/9*(abs(x))^1 > -1 // : 5/9

(abs(x))^1 > -1/5/9

(abs(x))^1 > -9/5 // ^ 1/1

abs(x) > (-9/5)^(1/1)

abs(x) > -9/5

x in (-oo:0)

x < 0

x > 0

x^1*(1-(5/9*x^1)) < 0 // : x^1

1-(5/9*x^1) < 0

1 < 5/9*x^1 // : 5/9

1/5/9 < x^1 // ^ 1/1

(1/5/9)^(1/1) < x

x in (9/5:+oo)

x > 0

x in (-oo:0) U (9/5:+oo)

x in (-oo:0) U (9/5:+oo)

(-oo:0) U (9/5:+oo)

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