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The converse is the statement, “for all integers \(a\) and \(b\text{,}\) if \(a\) is odd or \(b\) is odd, then \(a + b\) is odd.” This is false! How do we prove it is false? We need to prove the negation of the converse. Let's look at the symbols. The converse is

\begin{equation*} \forall a \forall b ((O(a) \vee O(b)) \imp O(a+b))\text{.} \end{equation*}
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