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x in (-oo:+oo)
(-1/2)*(x-3) < 1/4 // - 1/4
(-1/2)*(x-3)-(1/4) < 0
(-1/2)*(x-3)-1/4 < 0
-1/2*(x-3)-1/4 < 0
(-1/2*4*(x-3))/4-1/4 < 0
-1/2*4*(x-3)-1 < 0
5-2*x < 0
(5-2*x)/4 < 0
(5-2*x)/4 < 0 // * 4^2
4*(5-2*x) < 0
( 4 )
4 < 0
x belongs to the empty set
( 5-2*x )
5-2*x < 0 // - 5
-2*x < -5 // : -2
x > -5/(-2)
x > 5/2
(-oo:5/2) (5/2:+oo) 4 + + 5-2*x + -
x in (5/2:+oo)
(5/2:+oo)
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