(x-4)/(x^2-4)1

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Solution for (x-4)/(x^2-4)1 equation: 


D( x )

x^2-4 = 0

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in (-oo:-2) U (-2:2) U (2:+oo)

(x-4)/(x^2-4) > 1 // - 1

(x-4)/(x^2-4)-1 > 0

(x-4)/(x^2-4)+(-1*(x^2-4))/(x^2-4) > 0

x-1*(x^2-4)-4 > 0

x-x^2 > 0

x-x^2 = 0

x*(1-x) = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x*(x-1) = 0

(x*(x-1))/(x^2-4) > 0

(x*(x-1))/(x^2-4) > 0 // * (x^2-4)^2

x*(x-1)*(x^2-4) > 0

( x-1 )

x-1 > 0 // + 1

x > 1

( x )

x+0 > 0 // - 0

x > 0

( x^2-4 )

1*x^2 > 4

1*x^2 > 4 // : 1

x^2 > 4/1

x^2 > 4

x^2 > 4 // ^ 1/2

abs(x) > 2

x in (-oo:-2) U (2:+oo)

	(-oo:-2)	(-2:0)	(0:1)	(1:2)	(2:+oo)
x-1	-	-	-	+	+
x	-	-	+	+	+
x^2-4	+	-	-	-	+


x in (-oo:-2) U (0:1) U (2:+oo)

(-oo:-2) U (0:1) U (2:+oo)

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