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x in (-oo:+oo)
((x-11)*(3*x-8))/6-x < 0
((x-11)*(3*x-8))/6+(6*(-x))/6 < 0
(x-11)*(3*x-8)+6*(-x) < 0
3*x^2-47*x+88 < 0
3*x^2-47*x+88 = 0
3*x^2-47*x+88 = 0
DELTA = (-47)^2-(3*4*88)
DELTA = 1153
DELTA > 0
x = (1153^(1/2)+47)/(2*3) or x = (47-1153^(1/2))/(2*3)
x = (1153^(1/2)+47)/6 or x = (47-1153^(1/2))/6
(x-((47-1153^(1/2))/6))*(x-((1153^(1/2)+47)/6)) = 0
((x-((47-1153^(1/2))/6))*(x-((1153^(1/2)+47)/6)))/6 < 0
((x-((47-1153^(1/2))/6))*(x-((1153^(1/2)+47)/6)))/6 < 0 // * 6^2
6*(x-((47-1153^(1/2))/6))*(x-((1153^(1/2)+47)/6)) < 0
( 6 )
6 < 0
x belongs to the empty set
( x-((1153^(1/2)+47)/6) )
x-((1153^(1/2)+47)/6) < 0 // + (1153^(1/2)+47)/6
x < (1153^(1/2)+47)/6
( x-((47-1153^(1/2))/6) )
x-((47-1153^(1/2))/6) < 0 // + (47-1153^(1/2))/6
x < (47-1153^(1/2))/6
(-oo:(47-1153^(1/2))/6) ((47-1153^(1/2))/6:(1153^(1/2)+47)/6) ((1153^(1/2)+47)/6:+oo) 6 + + + x-((1153^(1/2)+47)/6) - - + x-((47-1153^(1/2))/6) - + +
x in ((47-1153^(1/2))/6:(1153^(1/2)+47)/6)
((47-1153^(1/2))/6:(1153^(1/2)+47)/6)
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