4x/(x-2)7

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Solution for 4x/(x-2)7 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)

(4*x)/(x-2) < 7 // - 7

(4*x)/(x-2)-7 < 0

(4*x)/(x-2)+(-7*(x-2))/(x-2) < 0

4*x-7*(x-2) < 0

14-3*x < 0

(14-3*x)/(x-2) < 0

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

(14-3*x)*(x-2) < 0

( 14-3*x )

14-3*x < 0 // - 14

-3*x < -14 // : -3

x > -14/(-3)

x > 14/3

( x-2 )

x-2 < 0 // + 2

x < 2

	(-oo:2)	(2:14/3)	(14/3:+oo)
14-3*x	+	+	-
x-2	-	+	+


x in (-oo:2) U (14/3:+oo)

(-oo:2) U (14/3:+oo)

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