Hey all,

I understand basic set notation, but I'm having trouble understanding these 2 examples which deal with existence and translating them to set notation. If someone could explain them thoroughly , I'd appreciate it.

Thanks in advance.

1.There are some B that are not H.

Answer: $\displaystyle B \bigcap H' \neq \emptyset$

2.$\displaystyle \exists x. (x \in H \implies x \in B) \wedge (x \notin E)$

Answer: $\displaystyle (H' \bigcup B) \bigcap E' \neq \emptyset $