(39x-25)/(10x-11)=3

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Solution for (39x-25)/(10x-11)=3 equation: 


D( x )

10*x-11 = 0

10*x-11 = 0

10*x-11 = 0

10*x-11 = 0 // + 11

10*x = 11 // : 10

x = 11/10

x in (-oo:11/10) U (11/10:+oo)

(39*x-25)/(10*x-11) >= 3 // - 3

(39*x-25)/(10*x-11)-3 >= 0

(39*x-25)/(10*x-11)+(-3*(10*x-11))/(10*x-11) >= 0

39*x-3*(10*x-11)-25 >= 0

9*x+8 >= 0

(9*x+8)/(10*x-11) >= 0

(9*x+8)/(10*x-11) >= 0 // * (10*x-11)^2

(9*x+8)*(10*x-11) >= 0

( 10*x-11 )

10*x-11 >= 0 // + 11

10*x >= 11 // : 10

x >= 11/10

( 9*x+8 )

9*x+8 >= 0 // - 8

9*x >= -8 // : 9

x >= -8/9

	(-oo:-8/9)	(-8/9:11/10)	(11/10:+oo)
10*x-11	-	-	+
9*x+8	-	+	+


x in (-oo:-8/9> U (11/10:+oo)

(-oo:-8/9> U (11/10:+oo)

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