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x in (-oo:+oo)
2*(x-4) > (1/2)*(5-(3*x)) // - (1/2)*(5-(3*x))
2*(x-4)-((1/2)*(5-(3*x))) > 0
2*(x-4)+(-1/2)*(5-3*x) > 0
2*(x-4)-1/2*(5-3*x) > 0
2*(x-4)-1/2*(5-3*x) > 0
7/2*x-21/2 > 0
7/2*x-21/2 > 0
7/2*x-21/2 > 0 // + 21/2
7/2*x > 21/2 // : 7/2
x > 21/2/7/2
x > 3
(-oo:3) (3:+oo) 7/2*x-21/2 - +
x in (3:+oo)
(3:+oo)
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