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x in (-oo:+oo)
(3*x-1)/2 < x-4 // - x-4
(3*x-1)/2-x+4 < 0
(3*x-1)/2+(2*(-x))/2+(2*4)/2 < 0
3*x+2*(-x)+2*4-1 < 0
x-1+8 < 0
x+7 < 0
(x+7)/2 < 0
(x+7)/2 < 0 // * 2^2
2*(x+7) < 0
( 2 )
2 < 0
x belongs to the empty set
( x+7 )
x+7 < 0 // - 7
x < -7
(-oo:-7) (-7:+oo) 2 + + x+7 - +
x in (-oo:-7)
(-oo:-7)
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