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x in (-oo:+oo)
(1/6)*(3-(2*x)) < (1/3)*x // - (1/3)*x
(1/6)*(3-(2*x))-((1/3)*x) < 0
(1/6)*(3-2*x)+(-1/3)*x < 0
1/6*(3-2*x)-x/3 < 0
(1/6*3*(3-2*x))/3-x/3 < 0
1/6*3*(3-2*x)-x < 0
3/2-2*x < 0
(3/2-2*x)/3 < 0
(3/2-2*x)/3 < 0 // * 3^2
3*(3/2-2*x) < 0
( 3/2-2*x )
3/2-2*x < 0 // - 3/2
-2*x < -3/2 // : -2
x > -3/2/(-2)
x > 3/4
( 3 )
3 < 0
x belongs to the empty set
(-oo:3/4) (3/4:+oo) 3/2-2*x + - 3 + +
x in (3/4:+oo)
(3/4:+oo)
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