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x in (-oo:+oo)
(2/3)*(9-x) < (1/3)*x // - (1/3)*x
(2/3)*(9-x)-((1/3)*x) < 0
(2/3)*(9-x)+(-1/3)*x < 0
2/3*(9-x)-x/3 < 0
(2/3*3*(9-x))/3-x/3 < 0
2/3*3*(9-x)-x < 0
18-3*x < 0
(18-3*x)/3 < 0
(18-3*x)/3 < 0 // * 3^2
3*(18-3*x) < 0
( 18-3*x )
18-3*x < 0 // - 18
-3*x < -18 // : -3
x > -18/(-3)
x > 6
( 3 )
3 < 0
x belongs to the empty set
(-oo:6) (6:+oo) 18-3*x + - 3 + +
x in (6:+oo)
(6:+oo)
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