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x in (-oo:+oo)
(1/2)*(3-x) > (1/3)*(2-(3*x)) // - (1/3)*(2-(3*x))
(1/2)*(3-x)-((1/3)*(2-(3*x))) > 0
(1/2)*(3-x)+(-1/3)*(2-3*x) > 0
1/2*(3-x)-1/3*(2-3*x) > 0
1/2*(3-x)-1/3*(2-3*x) > 0
1/2*x+5/6 > 0
1/2*x+5/6 > 0
1/2*x+5/6 > 0 // - 5/6
1/2*x > -5/6 // : 1/2
x > -5/6/1/2
x > -5/3
(-oo:-5/3) (-5/3:+oo) 1/2*x+5/6 - +
x in (-5/3:+oo)
(-5/3:+oo)
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