6x/(x-1)3

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Solution for 6x/(x-1)3 equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

(6*x)/(x-1) < 3 // - 3

(6*x)/(x-1)-3 < 0

(6*x)/(x-1)+(-3*(x-1))/(x-1) < 0

6*x-3*(x-1) < 0

3*x+3 < 0

(3*x+3)/(x-1) < 0

(3*x+3)/(x-1) < 0 // * (x-1)^2

(3*x+3)*(x-1) < 0

( 3*x+3 )

3*x+3 < 0 // - 3

3*x < -3 // : 3

x < -3/3

x < -1

( x-1 )

x-1 < 0 // + 1

x < 1

	(-oo:-1)	(-1:1)	(1:+oo)
3*x+3	-	+	+
x-1	-	-	+


x in (-1:1)

(-1:1)

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