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x in (-oo:+oo)
(3*x)/4-(1/6) < x-((2*(x-1))/3) // - x-((2*(x-1))/3)
(2*(x-1))/3+(3*x)/4-x-(1/6) < 0
(2*(x-1))/3+(3*x)/4-x-1/6 < 0
(2*4*6*(x-1))/(3*4*6)+(3*3*6*x)/(3*4*6)+(3*4*6*(-x))/(3*4*6)+(-1*3*4)/(3*4*6) < 0
2*4*6*(x-1)+3*3*6*x+3*4*6*(-x)-1*3*4 < 0
102*x-72*x-48-12 < 0
30*x-48-12 < 0
30*x-60 < 0
(30*x-60)/(3*4*6) < 0
(30*x-60)/(3*4*6) < 0 // * (3*4*6)^2
3*4*6*(30*x-60) < 0
( 30*x-60 )
30*x-60 < 0 // + 60
30*x < 60 // : 30
x < 60/30
x < 2
( 3 )
3 < 0
x belongs to the empty set
( 4 )
4 < 0
x belongs to the empty set
( 6 )
6 < 0
x belongs to the empty set
(-oo:2) (2:+oo) 30*x-60 - + 3 + + 4 + + 6 + +
x in (-oo:2)
(-oo:2)
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