(6x-1)/(3-x)2

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Solution for (6x-1)/(3-x)2 equation: 


D( x )

3-x = 0

3-x = 0

3-x = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

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

(6*x-1)/(3-x) < 2 // - 2

(6*x-1)/(3-x)-2 < 0

(6*x-1)/(3-x)+(-2*(3-x))/(3-x) < 0

6*x-2*(3-x)-1 < 0

8*x-7 < 0

(8*x-7)/(3-x) < 0

(8*x-7)/(3-x) < 0 // * (3-x)^2

(8*x-7)*(3-x) < 0

( 3-x )

3-x < 0

-x < -3 // * -1

x > 3

( 8*x-7 )

8*x-7 < 0 // + 7

8*x < 7 // : 8

x < 7/8

	(-oo:7/8)	(7/8:3)	(3:+oo)
3-x	+	+	-
8*x-7	-	+	+


x in (-oo:7/8) U (3:+oo)

(-oo:7/8) U (3:+oo)

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