3/x-40

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Solution for 3/x-40 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x-4 < 0

3*x^-1 < 4

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

x^-1 < 4/3

1/(x^1) < 4/3

x <> 0

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

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

x^1 < 4/3*x^2

x-4/3*x^2 < 0

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

x < 0

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

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

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

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

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

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

abs(x) > -3/4

x in (-oo:0)

x < 0

x > 0

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

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

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

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

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

x in (3/4:+oo)

x > 0

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

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

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

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