(x-11)/(x-14)3

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Solution for (x-11)/(x-14)3 equation:


D( x )

x-14 = 0

x-14 = 0

x-14 = 0

x-14 = 0 // + 14

x = 14

x in (-oo:14) U (14:+oo)

(x-11)/(x-14) > 3 // - 3

(x-11)/(x-14)-3 > 0

(x-11)/(x-14)+(-3*(x-14))/(x-14) > 0

x-3*(x-14)-11 > 0

31-2*x > 0

(31-2*x)/(x-14) > 0

(31-2*x)/(x-14) > 0 // * (x-14)^2

(31-2*x)*(x-14) > 0

( 31-2*x )

31-2*x > 0 // - 31

-2*x > -31 // : -2

x < -31/(-2)

x < 31/2

( x-14 )

x-14 > 0 // + 14

x > 14

(-oo:14) (14:31/2) (31/2:+oo) 31-2*x + + - x-14 - + +

x in (14:31/2)

(14:31/2)

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