Greetings,

I have two questions that I hope someone can assist me with. We let $\displaystyle W_{1}$ and $\displaystyle W_{2}$ be arbitrary subsets in the topological space $\displaystyle M$. I want to show that:

1) $\displaystyle int \left(W_{1} \cap W_{2} \right)=int \left(W_{2}\right) \cap int\left(W_{2}\right)$

2) $\displaystyle int \left(W_{1} \cup W_{2} \right)\subseteq int \left(W_{2}\right) \cup int\left(W_{2}\right)$

I would greatly appreciate it if someone could help me through the problem so that I understand it and not just give me the answer.

Thanks.