6/(x-9)12

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Solution for 6/(x-9)12 equation:


D( x )

x-9 = 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x in (-oo:9) U (9:+oo)

6/(x-9) < 12 // - 12

6/(x-9)-12 < 0

6/(x-9)+(-12*(x-9))/(x-9) < 0

6-12*(x-9) < 0

114-12*x < 0

(114-12*x)/(x-9) < 0

(114-12*x)/(x-9) < 0 // * (x-9)^2

(114-12*x)*(x-9) < 0

( 114-12*x )

114-12*x < 0 // - 114

-12*x < -114 // : -12

x > -114/(-12)

x > 19/2

( x-9 )

x-9 < 0 // + 9

x < 9

(-oo:9) (9:19/2) (19/2:+oo) 114-12*x + + - x-9 - + +

x in (-oo:9) U (19/2:+oo)

(-oo:9) U (19/2:+oo)

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