3x/(x-2)1.5

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Solution for 3x/(x-2)1.5 equation: 


D( x )

x-2 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

(3*x)/(x-2) < 1.5 // - 1.5

(3*x)/(x-2)-1.5 < 0

(3*x)/(x-2)+(-1.5*(x-2))/(x-2) < 0

3*x-1.5*(x-2) < 0

1.5*x+3 < 0

(1.5*x+3)/(x-2) < 0

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

(1.5*x+3)*(x-2) < 0

( 1.5*x+3 )

1.5*x+3 < 0 // - 3

1.5*x < -3 // : 1.5

x < -3/1.5

x < -2

( x-2 )

x-2 < 0 // + 2

x < 2

	(-oo:-2)	(-2:2)	(2:+oo)
1.5*x+3	-	+	+
x-2	-	-	+


x in (-2:2)

(-2:2)

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