(6x-4)/(x-6)3

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Solution for (6x-4)/(x-6)3 equation: 


D( x )

x-6 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x in (-oo:6) U (6:+oo)

(6*x-4)/(x-6) < 3 // - 3

(6*x-4)/(x-6)-3 < 0

(6*x-4)/(x-6)+(-3*(x-6))/(x-6) < 0

6*x-3*(x-6)-4 < 0

3*x+14 < 0

(3*x+14)/(x-6) < 0

(3*x+14)/(x-6) < 0 // * (x-6)^2

(3*x+14)*(x-6) < 0

( 3*x+14 )

3*x+14 < 0 // - 14

3*x < -14 // : 3

x < -14/3

( x-6 )

x-6 < 0 // + 6

x < 6

	(-oo:-14/3)	(-14/3:6)	(6:+oo)
3*x+14	-	+	+
x-6	-	-	+


x in (-14/3:6)

(-14/3:6)

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