(13x-5)/(x-1)5

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Solution for (13x-5)/(x-1)5 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)

(13*x-5)/(x-1) > 5 // - 5

(13*x-5)/(x-1)-5 > 0

(13*x-5)/(x-1)+(-5*(x-1))/(x-1) > 0

13*x-5*(x-1)-5 > 0

8*x > 0

(8*x)/(x-1) > 0

(8*x)/(x-1) > 0 // * (x-1)^2

8*x*(x-1) > 0

( 8*x )

8*x+0 > 0 // - 0

8*x > 0 // : 8

x > 0/8

x > 0

( x-1 )

x-1 > 0 // + 1

x > 1

	(-oo:0)	(0:1)	(1:+oo)
8*x	-	+	+
x-1	-	-	+


x in (-oo:0) U (1:+oo)

(-oo:0) U (1:+oo)

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