12-10x/(x-1)=0

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Solution for 12-10x/(x-1)=0 equation:


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

12-((10*x)/(x-1)) >= 0

12-10*x*(x-1)^-1 >= 0

(-10*x)/(x-1)+12 >= 0

(-10*x)/(x-1)+(12*(x-1))/(x-1) >= 0

12*(x-1)-10*x >= 0

2*x-12 >= 0

(2*x-12)/(x-1) >= 0

(2*x-12)/(x-1) >= 0 // * (x-1)^2

(2*x-12)*(x-1) >= 0

( 2*x-12 )

2*x-12 >= 0 // + 12

2*x >= 12 // : 2

x >= 12/2

x >= 6

( x-1 )

x-1 >= 0 // + 1

x >= 1

(-oo:1) (1:6) (6:+oo) 2*x-12 - - + x-1 - + +

x in (-oo:1) U <6:+oo)

(-oo:1) U <6:+oo)

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