Word Count : 278

---

i) Every infinite set is an open set. False. Consider the set of integers $\mathbb{Z} \subset \mathbb{R}$. It is infinite but not open in $\mathbb{R}$, because for any integer $n$, any neighborhood $(n-\epsilon, n+\epsilon)$ contains non-integer points, which are not in $\mathbb{Z}$. --- ii) The negation of $p \wedge \neg q$ is $p \to q$. True. Negate $p \wedge \neg q$: $$ \neg (p \wedge \neg q) = \neg ______ ____ ___ ___ _____ _________ ______.
____ ___ ______ ______ ___ _______ _______ ______ ______ ___ ______ ________.
________ ___ _______ ______ ________ ___ __________ ___ __________ _________ ________ ______.
________ __________ ____ _______ __________ _________ ______ _____ __________ _________ _______.
____ _____ __________ ____ ___ ________ ________ _________ _____ ______ _________ ______.
____ ____ ______ _____ ________ _____ __________ _______ ________ _____.
______ ___ ______ ___ ________.
___ ________ ___ ________ ______ _______ ____ ___ ____ ___ _____ ___.
__________ ______ __________ ________ _____ __________ _____ _________ _________ ____ __________.
____ _________ ______ ______ ___ __________ ___ _______ _________ _____ _____ _____.
________ ___ ____ ____ __________ ________ ____.
_________ _______ ____ _____ ______ _____ _______ ___.
______ ________ ____ ____ ___ ______ ______ _________ ________ ________.
___ _______ __________ _____ _______ ____ ___ _______ _____ ___.
______ _________ _______ ____ ___ ____ ______ _____ __________.
______ __________ ____ __________ ______.
______ _______ _________ ____ ___ ____ _______ _______ _______ __________ ________.
_____ ___ __________ __________ _____ ___ ___ ___ __________ ____.
_______ ___ ______ ____ ___ ____ _______ ___ ________.
_________ ________ ________ _____ ____.
___ _______ ________ _____ __________ _________ ___ _______ _________.
________ _____ _____ _______ __________ _____ ____ _______.
_________ ______ ______ __________.
Get Full Answer on WhatsApp