8/(x-3)4

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Solution for 8/(x-3)4 equation: 


D( x )

x-3 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:3) U (3:+oo)

8/(x-3) < 4 // - 4

8/(x-3)-4 < 0

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

8-4*(x-3) < 0

20-4*x < 0

(20-4*x)/(x-3) < 0

(20-4*x)/(x-3) < 0 // * (x-3)^2

(20-4*x)*(x-3) < 0

( 20-4*x )

20-4*x < 0 // - 20

-4*x < -20 // : -4

x > -20/(-4)

x > 5

( x-3 )

x-3 < 0 // + 3

x < 3

	(-oo:3)	(3:5)	(5:+oo)
20-4*x	+	+	-
x-3	-	+	+


x in (-oo:3) U (5:+oo)

(-oo:3) U (5:+oo)

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