2.2 Exercise 5

Let $p$ represent the statement, “My child finished their homework,” let $q$ represent the statement, “My child cleaned her room,” let $r$ represent the statement, “My child played video games,” and let $s$ represent the statement, “My child streamed a movie.” Translate each of the following symbolic statements into words.

1. $\sim \left(p \land q\right)$
2. $\left(p \land q\right) \rightarrow \left(r \lor s\right)$
3. $\sim \left(r \lor s\right) \leftrightarrow \sim \left(p \land q\right)$