اگر $i=\left\{ 1,2,...,100 \right\}$ و ${{A}_{i}}=\left( -i,100-i \right)$ باشد، $\underset{i=1}{\overset{100}{\mathop{\cup }}}\,{{A}_{i}}$ کدام است؟
$\underset{i=1}{\overset{n}{\mathop{\cup }}}\,{{A}_{i}}={{A}_{1}}\cup {{A}_{2}}\cup ...\cup {{A}_{n}}$
1 )
$\left( -99,99 \right)$
2 )
$\left( -100,100 \right)$
$\left( -100,99 \right)$
4 )
$\left( -99,100 \right)$