\begin{table}[!h]\centering
\begin{tabular}{|l|l|l|}
\hline
\textbf{Step} & \textbf{Know}
& \textbf{Reason} \\ \hline
P & $x$ is an even integer and $y$ is an odd integer & Hypothesis \\ \hline
P1 & There exists $m$ and $n$ in the set of all integers, such that & Definition of even and odd integers \\
& $x = 2m$ and $y = 2n +1$ & \\ \hline
P2 & $x + y = 2m + 2n + 1$ & Substitution of $x = 2m $ and $y = 2n +1$ into $x + y$ \\ \hline
P3 & $x+y=2(m+n)+1 $ & Algebra \\ & \\ \hline
P4 & $(m+n)$ is in the set of all integers & Closure property of the integers under addition \\ \hline
P5 & there exist $q$ in the set of all integers, such that $x+y = 2q+1$ & Conclude that $2(q)+1$ is an integer \\
& & \\ \hline
Q & $x + y$ is odd & Definition of an odd integer \\ \hline
\textbf{Step} & \textbf{Know} & \textbf{Reason} \\ \hline
\end{tabular}
\end{table}
Asked
Active
Viewed 20 times
0
lformat for at least the second and third columns to a paragraph style, with the width specified so that the total width does not exceed the width of the text block. – barbara beeton Sep 07 '21 at 02:44lp{4cm}p{4cm}rather thanllland see the general answers on wide tables in the referenced post. – David Carlisle Sep 07 '21 at 06:41