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x in (-oo:+oo)
(1/2)*(8-x) > 6 // - 6
(1/2)*(8-x)-6 > 0
1/2*(8-x)-6 > 0
1/2*(8-x)-6 > 0
-1/2*x-2 > 0
-1/2*x-2 > 0
-1/2*x-2 > 0 // + 2
-1/2*x > 2 // : -1/2
x < 2/(-1/2)
x < -4
(-oo:-4) (-4:+oo) -1/2*x-2 + -
x in (-oo:-4)
(-oo:-4)
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