Inéquations réductibles au second degré

Résoudre

ex[1]=((x+7)/(x+1)-(x+2)/x≥1);
ex[2]=((x+3)/(x-1)-(x-2)/(x+1)≥-1);
ex[3]=((2x+4)/(1-x)-(x+4)/(x-3)≥1);
ex[4]=((4-x^2)(-x^2+x-5)/(4x^2-12x+9)≥0);
ex[5]=((-x^2+x-10)(2x^2+5x-12)/(3x(-2x^2+5x+3)(3-2x))≥0);
ex[6]=( (x^2-5x+6)(x-2)(-x^2+6x-8)/((1-2x)(3x^2-4x+1)(x^2-4x+3))≤0);
ex[7]=(5<(4-x)/(2x));
ex[8]=((x^2-4)/(2x^2-7x+3)≥0);
ex[9]=(2x>4/(x-1));
ex[10]=( (4x^2-5x+1)/(4x^2-1)≤0);

Do[Print[i,") ",ex[i]],{i,10}]

Solutions:

Do[sol[i]=Ensemble[ex[i],x];
Print[i," ) S = ",sol[i]],{i,10}]