(2x-5)/(1-x)-2

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Solution for (2x-5)/(1-x)-2 equation: 


D( x )

1-x = 0

1-x = 0

1-x = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

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

(2*x-5)/(1-x) < -2 // + 2

(2*x-5)/(1-x)+2 < 0

(2*x-5)/(1-x)+(2*(1-x))/(1-x) < 0

2*(1-x)+2*x-5 < 0

-3 < 0

-3/(1-x) < 0

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

-3*(1-x) < 0

( -3 )

-3 < 0

x należy do R

( 1-x )

1-x < 0

-x < -1 // * -1

x > 1

	(-oo:1)	(1:+oo)
-3	-	-
1-x	+	-


x in (-oo:1)

(-oo:1)

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