5/(x-6)4

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Solution for 5/(x-6)4 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)

5/(x-6) > 4 // - 4

5/(x-6)-4 > 0

5/(x-6)+(-4*(x-6))/(x-6) > 0

5-4*(x-6) > 0

29-4*x > 0

(29-4*x)/(x-6) > 0

(29-4*x)/(x-6) > 0 // * (x-6)^2

(29-4*x)*(x-6) > 0

( 29-4*x )

29-4*x > 0 // - 29

-4*x > -29 // : -4

x < -29/(-4)

x < 29/4

( x-6 )

x-6 > 0 // + 6

x > 6

	(-oo:6)	(6:29/4)	(29/4:+oo)
29-4*x	+	+	-
x-6	-	+	+


x in (6:29/4)

(6:29/4)

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