Drawing Venn diagram with TikZ

Question

I would like to place the symbol of the universe set (E) on the left side and the sets A and B in the middle of the rectangle with the set B with a white area (as in the attached figure).

My code is as follows:

\documentclass[10pt, a4paper, serif, xcolor = {divpsnames, svgnames}]{beamer}
\usepackage{tikz}
\usepackage{pgfplots}

\begin{document}

\begin{figure}
    \centering
        \begin{tikzpicture}
            \begin{scope}[shift = {(3cm, -5cm)}, fill opacity = 0.5]
                \draw[fill = Green!70!white] (5, -2) rectangle (-2, 2) node [below right] {\textbf{$E$}};
                \draw[fill = white, draw = black] (0, 0) circle (1.7);
                \draw[fill = Green!70!white, draw = black] (-.5, 0) circle (1);

                    \node at (1.4, 0) (C) {\textbf{$B$}};
                    \node at (.2, 0) (D) {\textbf{$A$}};
            \end{scope}
        \end{tikzpicture}
            \caption{Representação da relação $A \subset B$.}
                \label{fig3}
\end{figure}

\end{document}

Thank you in advance!

Answer 1

Your code more or less achieves what you want, doesn't it? There are some improvements that can be made, though:

1. One should always put things in frames when working in the presentation mode of beamer.
2. One can use even odd rule to avoid overpainting fills, in particular when you use a nontrivial fill opacity.
3. Set the text opacity to 1.
4. \textbf{...} does not affect math expressions inside. You can use \boldsymbol (or \boldmath).

Result:

\documentclass[10pt, a4paper, serif, xcolor = {divpsnames, svgnames}]{beamer}
\usepackage{tikz}
\usepackage{amssymb}
\begin{document}
\begin{frame}[t]
\frametitle{A Venn diagram}
\begin{figure}
\centering
\begin{tikzpicture}
  \begin{scope}[fill opacity = 0.5,text opacity=1]
   \draw[fill = Green!70!white,even odd rule] (3.5, -2) rectangle (-3.5, 2) 
    node [below right=1ex] {$\boldsymbol{E}$}
    (0, 0) circle[radius=1.7];
   \draw[fill = white, draw = black,even odd rule] (0, 0) circle[radius=1.7]
    (-.2, 0) circle[radius=1];
   \draw[fill = Green!70!white, draw = black] (-.2, 0) circle[radius=1];

   \node at (1.4, 0) (C) {$\boldsymbol{B}$};
   \node at (.2, 0) (D) {$\boldsymbol{A}$};
  \end{scope}
\end{tikzpicture}
\caption{Representa\c{c}\~ao da rela\c{c}\~ao $A \subset B$.}
\label{fig3}
\end{figure}
\end{frame}
\end{document}

Or with the E on the other side.

\documentclass[10pt, a4paper, serif, xcolor = {divpsnames, svgnames}]{beamer}
\usepackage{tikz}
\usepackage{amssymb}
\begin{document}
\begin{frame}[t]
\frametitle{A Venn diagram}
\begin{figure}
\centering
\begin{tikzpicture}
  \begin{scope}[fill opacity = 0.5,text opacity=1]
   \draw[fill = Green!70!white,even odd rule] (-3.5, -2) rectangle (3.5, 2) 
    node[below left=1ex] {$\boldsymbol{E}$} (0, 0) circle[radius=1.7];
   \draw[fill = white, draw = black,even odd rule] (0, 0) circle[radius=1.7]
    (-.2, 0) circle[radius=1];
   \draw[fill = Green!70!white, draw = black] (-.2, 0) circle[radius=1];

   \node at (1.4, 0) (C) {$\boldsymbol{B}$};
   \node at (.2, 0) (D) {$\boldsymbol{A}$};
  \end{scope}
\end{tikzpicture}
\caption{Representa\c{c}\~ao da rela\c{c}\~ao $A \subset B$.}
\label{fig3}
\end{figure}
\end{frame}
\end{document}