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This is a slightly ambiguous and unsatisfactory situation. (you can view the symbols I will be discussing in the document <http://amath.Colorado.edu/documentation/LaTeX/Symbols.pdf >)

The relation "contained in" is commonly denoted by the symbol which would be typeset in latex by $\subseteq$. The answer to your question ought to be $\subset$, but is not, because the meaning of $\subset$ within the mathematical culture is more or less synonymous with a slightly vaguer version of $\subseteq$. More precise symbols to convey "properly contained in" in latex are $\subsetneq$,\varsubsetneq, \subsetneqq and \varsubsetneqq --I don't know if there is a MSWord version of these symbols. However, the use of these symbol is uncommon and unexpected: even though people will guess that you mean "properly contained" when you use these symbols, but you had better advertise your meaning in words to confirm the guess

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Q: What is the symbol for properly contained?
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