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x in (-oo:+oo)
7*x-3 > (5*x)/2 // - (5*x)/2
7*x-((5*x)/2)-3 > 0
7*x+(-5/2)*x-3 > 0
9/2*x-3 > 0 // + 3
9/2*x > 3 // : 9/2
x > 3/9/2
x > 2/3
x in (2/3:+oo)
(2/3:+oo)
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