Extra inter-line spacing in a tabular environment (Version 2)

Question

I have a table that is typeset using a tabular environment. (I want to keep it in a tabular environment.) The inter-line spacing in each table is determined by \\[1.2\normalbaselineskip]. What spacing should I use between the text preceding the tabular environment and the tabular environment? What would the analog to \\[1.2baselineskip] be in text mode?

\documentclass[10pt]{amsart}

\begin{document}

\noindent {\textbf{Example}} \vskip1.25mm
The following functions are increasing on the interval $[0, \, \infty)$. \\
\hspace*{3em}
\begin{tabular}{r @{\ }l}
\textbf{i.)}    &       $\sqrt[\uproot{1} \leftroot{-1} 3]{x^{3} + 2x^{2} + 3x - 7}$ \\[1.2\normalbaselineskip]
\textbf{ii.)}   &       $x^{3} + 2x^{2} + 3x - 7$ \\[1.2\normalbaselineskip]
\textbf{iii.)}  &       $x^{2} + \sqrt{x}$ \\[1.2\normalbaselineskip]
\textbf{iv.)}   &       $\displaystyle{\frac{-1}{x^{2} + 1}}$
\end{tabular}
\vskip0.25in


\noindent {\textbf{Example}} \vskip1.25mm
Solve the following equations. \\
\hspace*{3em} 
\begin{tabular}{r @{\ }l}
\textbf{i.)}    &   $\displaystyle{\frac{3}{50} \, x + \frac{3}{20} \, \Bigl(10 - x\Bigr) = \frac{3}{4} \, x}$ \\[1.2\normalbaselineskip]
\textbf{ii.)}   &   $\displaystyle{\left(2\sin{x} - \sqrt{3}\right) = 0}$ \\[1.2\normalbaselineskip]
\textbf{iii.)}  &   $2\tan\theta\sin\theta + \sqrt{3}\tan\theta = 2\sqrt{3}\sin\theta + 3$ \\[1.2\normalbaselineskip]
\textbf{iv.)}   &   $\displaystyle{\frac{x}{4} = 2^{\log_{x}8}}$
\end{tabular}


\end{document}

Answer 1

I would do something like this

\documentclass[10pt]{amsart}

\usepackage{enumitem}


\begin{document}

\section*{Example}
The following functions are increasing on the interval $[0, \, \infty)$.
\begin{enumerate}[label=\textbf{\roman{enumi}.)},itemsep=17pt,topsep=10pt]
\item  $\displaystyle \sqrt[\uproot{1} \leftroot{-1} 3]{x^{3} + 2x^{2} + 3x - 7}$
\item  $\displaystyle x^{3} + 2x^{2} + 3x - 7$
\item  $\displaystyle x^{2} + \sqrt{x}$
\item  $\displaystyle \frac{-1}{x^{2} + 1}$
\end{enumerate}



\section*{Example}
Solve the following equations.
\begin{enumerate}[label=\textbf{\roman{enumi}.)},itemsep=17pt,topsep=10pt]
\item $\displaystyle \frac{3}{50} \, x + \frac{3}{20} \, \Bigl(10 - x\Bigr) = \frac{3}{4} \, x$
\item $\displaystyle (2\sin{x} - \sqrt{3}) = 0$
\item  $\displaystyle 2\tan\theta\sin\theta + \sqrt{3}\tan\theta = 2\sqrt{3}\sin\theta + 3$ 
\item  $\displaystyle \frac{x}{4} = 2^{\log_{x}8}$
\end{enumerate}


\end{document}

Note this uses structural elements like sections and lists rather than font changes and spacing. the heading here is centred small caps as that is the amsart style, if you used article it would be bold and flush left.

Note that \displaystyle does not take a {...} argument, and if you use it you should use it in all cases, otherwise positioning of subscripts etc will be inconsistent.