In my list of exam questions is one to solve an example using indexed sets. I don't really know how to solve this type of examples, because I've never seen this. Also Google gives me just tutorial for unions and intersections, but what about difference and sym. difference?
Here is my example from exams: example
$\def\Symdiff{\mathop{\lower.48ex\Large\Delta}} \left( \Symdiff\limits_{i}{A_i} \setminus \Symdiff\limits_{i \mathrm{~odd}}{A_i} \right) \vartriangle \bigcup\limits_{i \mathrm{~odd}}{A_i}\text{ }=\text{ } \left( \bigcup\limits_{i \mathrm{~even}}{A_i} \cap \Symdiff\limits_{i \mathrm{~odd}}{A_i} \right) \setminus \Symdiff\limits_{i \mathrm{~even}}{A_i}$
I would like to know this, because I don't wanna fail class.