Question

$frac{ sqrt{3}-a }{2} + frac{a+2}{3} >0$

Answer 1

$frac{sqrt{3}-a}{2}+frac{a+2}{3}>0;\ frac{3(sqrt{3}-a)+2(a+2)}{2cdot3}>0;\ frac{3sqrt3-3a+2a+4}{6}>0;\ frac{3sqrt3+4-a}{6}>0;\ a<4+3sqrt3$