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x in (-oo:+oo)
(-2/3)*(x-3)-(1/2) < (1/2)*(5-x) // - (1/2)*(5-x)
(-2/3)*(x-3)-((1/2)*(5-x))-(1/2) < 0
(-2/3)*(x-3)+(-1/2)*(5-x)-1/2 < 0
-2/3*(x-3)-1/2*(5-x)-1/2 < 0
(-2/3*2*(x-3))/2+(-1/2*2*(5-x))/2-1/2 < 0
-2/3*2*(x-3)-1/2*2*(5-x)-1 < 0
-1/3*x-1-1 < 0
-1/3*x-2 < 0
(-1/3*x-2)/2 < 0
(-1/3*x-2)/2 < 0 // * 2^2
2*(-1/3*x-2) < 0
( -1/3*x-2 )
-1/3*x-2 < 0 // + 2
-1/3*x < 2 // : -1/3
x > 2/(-1/3)
x > -6
( 2 )
2 < 0
x belongs to the empty set
(-oo:-6) (-6:+oo) -1/3*x-2 + - 2 + +
x in (-6:+oo)
(-6:+oo)
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