0, \\
3(\sqrt3-a)+2(a+2)>0 , \\
3\sqrt3-3a+2a+4>0, \\
-a>-3\sqrt3-4, \\
a<3\sqrt3+4, \\
a_{max}=9." alt=" \frac{\sqrt3-a}{2} + \frac{a+2}{3}>0, \\
3(\sqrt3-a)+2(a+2)>0 , \\
3\sqrt3-3a+2a+4>0, \\
-a>-3\sqrt3-4, \\
a<3\sqrt3+4, \\
a_{max}=9." align="absmiddle" class="latex-formula">