Compound Statements · Example 3

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.

(a) $\sim \left(p\wedge q\right)$
(b) $\left(p\wedge q\right)\to \left(r\vee s\right)$
(c) $\sim \left(r\vee s\right)\leftrightarrow \sim \left(p\wedge q\right)$

OpenStax, Contemporary Mathematics · §2.2 Compound Statements · Example 3