1/(x-4)=5

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Solution for 1/(x-4)=5 equation: 


D( x )

x-4 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:+oo)

1/(x-4) <= 5 // - 5

1/(x-4)-5 <= 0

1/(x-4)+(-5*(x-4))/(x-4) <= 0

1-5*(x-4) <= 0

21-5*x <= 0

(21-5*x)/(x-4) <= 0

(21-5*x)/(x-4) <= 0 // * (x-4)^2

(21-5*x)*(x-4) <= 0

( 21-5*x )

21-5*x <= 0 // - 21

-5*x <= -21 // : -5

x >= -21/(-5)

x >= 21/5

( x-4 )

x-4 <= 0 // + 4

x <= 4

	(-oo:4)	(4:21/5)	(21/5:+oo)
21-5*x	+	+	-
x-4	-	+	+


x in (-oo:4) U <21/5:+oo)

(-oo:4) U <21/5:+oo)

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