(x-15)/(x-20)3

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Solution for (x-15)/(x-20)3 equation:


D( x )

x-20 = 0

x-20 = 0

x-20 = 0

x-20 = 0 // + 20

x = 20

x in (-oo:20) U (20:+oo)

(x-15)/(x-20) > 3 // - 3

(x-15)/(x-20)-3 > 0

(x-15)/(x-20)+(-3*(x-20))/(x-20) > 0

x-3*(x-20)-15 > 0

45-2*x > 0

(45-2*x)/(x-20) > 0

(45-2*x)/(x-20) > 0 // * (x-20)^2

(45-2*x)*(x-20) > 0

( 45-2*x )

45-2*x > 0 // - 45

-2*x > -45 // : -2

x < -45/(-2)

x < 45/2

( x-20 )

x-20 > 0 // + 20

x > 20

(-oo:20) (20:45/2) (45/2:+oo) 45-2*x + + - x-20 - + +

x in (20:45/2)

(20:45/2)

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