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x in (-oo:+oo)
(6*x-8)/9 < 31/3 // - 31/3
(6*x-8)/9-(31/3) < 0
(6*x-8)/9-31/3 < 0
(3*(6*x-8))/(3*9)+(-31*9)/(3*9) < 0
3*(6*x-8)-31*9 < 0
18*x-303 < 0
(18*x-303)/(3*9) < 0
(18*x-303)/(3*9) < 0 // * (3*9)^2
3*9*(18*x-303) < 0
( 18*x-303 )
18*x-303 < 0 // + 303
18*x < 303 // : 18
x < 303/18
x < 101/6
( 3 )
3 < 0
x belongs to the empty set
( 9 )
9 < 0
x belongs to the empty set
(-oo:101/6) (101/6:+oo) 18*x-303 - + 3 + + 9 + +
x in (-oo:101/6)
(-oo:101/6)
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