Mathematics
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    sqrt(x)*lnx-x+1<0
    ((ln(1+1/x))^-2)*1/(x*(1+x))>0
    ((ln(1+1/x))^-2)*1/(x*(1+x))>1
    ((ln(1+1/x))^-2)*1/(x*(1+x))-1>0
    1/(x+1)-1/(x-1)>2/x*x
    1/(x+1)-1/(x-1)+2/x*x>0
    ln(x+1)-ln(x-1)>2/x
    ln(x+1)-ln(x-1)-2/x>0
    2x>-7
    (3x-5)(2x+7)>0
    2x+7>0
    (3x-5)/(2x+7)>0
    0<(a+13-sqrt((a+13)*(a+13)-28(a*a-a-2)))/14<1 1<(a+13+sqrt((a+13)*(a+13)-28(a*a-a-2)))/14<2
    0<(a+13-sqrt((a+13)*(a+13)-28(a*a-a-2)))/2<1 1<(a+13+sqrt((a+13)*(a+13)-28(a*a-a-2)))/2<2
    (x+3)/(2x-1)≤0
    0<(a+13)*(a+13)-28(a*a-a-2)<1
    (a+13)*(a+13)-28(a*a-a-2)<1
    2x-3≤-6
    2x-3≥6
    {3x-7≥5:6-x>8

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