(2x-1)/(x-3)5

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Solution for (2x-1)/(x-3)5 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)

(2*x-1)/(x-3) > 5 // - 5

(2*x-1)/(x-3)-5 > 0

(2*x-1)/(x-3)+(-5*(x-3))/(x-3) > 0

2*x-5*(x-3)-1 > 0

14-3*x > 0

(14-3*x)/(x-3) > 0

(14-3*x)/(x-3) > 0 // * (x-3)^2

(14-3*x)*(x-3) > 0

( 14-3*x )

14-3*x > 0 // - 14

-3*x > -14 // : -3

x < -14/(-3)

x < 14/3

( x-3 )

x-3 > 0 // + 3

x > 3

(-oo:3) (3:14/3) (14/3:+oo) 14-3*x + + - x-3 - + +

x in (3:14/3)

(3:14/3)

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