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x in (-oo:+oo)
(1/4)*(3*x-(1/2))-(2/3) < 7/3 // - 7/3
(1/4)*(3*x-(1/2))-(2/3)-(7/3) < 0
(1/4)*(3*x-1/2)-2/3-7/3 < 0
1/4*(3*x-1/2)-2/3-7/3 < 0
(1/4*3*(3*x-1/2))/3-2/3-7/3 < 0
1/4*3*(3*x-1/2)-7-2 < 0
9/4*x-7-19/8 < 0
9/4*x-75/8 < 0
(9/4*x-75/8)/3 < 0
(9/4*x-75/8)/3 < 0 // * 3^2
3*(9/4*x-75/8) < 0
( 3 )
3 < 0
x belongs to the empty set
( 9/4*x-75/8 )
9/4*x-75/8 < 0 // + 75/8
9/4*x < 75/8 // : 9/4
x < 75/8/9/4
x < 25/6
(-oo:25/6) (25/6:+oo) 3 + + 9/4*x-75/8 - +
x in (-oo:25/6)
(-oo:25/6)
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