12/x-36

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Solution for 12/x-36 equation:


D( x )

x = 0

x = 0

x = 0

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

12/x-3 < 6 // - 6

12/x-6-3 < 0

12*x^-1 < 9

12*x^-1 < 9 // : 12

x^-1 < 9/12

x^-1 < 3/4

1/(x^1) < 3/4

x <> 0

1/(x^1) < 3/4 // * x^2

(x^2)/(x^1) < 3/4*x^2

x^1 < 3/4*x^2

x-3/4*x^2 < 0

x^1*(1-3/4*x) < 0

x < 0

-(abs(x))^1*(3/4*(abs(x))^1+1) < 0 // : -(abs(x))^1

3/4*(abs(x))^1+1 > 0

3/4*(abs(x))^1 > -1 // : 3/4

(abs(x))^1 > -1/3/4

(abs(x))^1 > -4/3 // ^ 1/1

abs(x) > (-4/3)^(1/1)

abs(x) > -4/3

x in (-oo:0)

x < 0

x > 0

x^1*(1-(3/4*x^1)) < 0 // : x^1

1-(3/4*x^1) < 0

1 < 3/4*x^1 // : 3/4

1/3/4 < x^1 // ^ 1/1

(1/3/4)^(1/1) < x

x in (4/3:+oo)

x > 0

x in (-oo:0) U (4/3:+oo)

x in (-oo:0) U (4/3:+oo)

(-oo:0) U (4/3:+oo)

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