If \( \xi= \) the set of all digits in our decimal system, \( \math...

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If \( \xi= \) the set of all digits in our decimal system, \( \mathrm{A}=\{x: x \) is prime \( \} \) and \( \mathrm{B}=\{x: x \) is a perfect square \( \} \), then verify the following results :
\[
(\mathrm{A} \cup \mathrm{B})^{\prime}=\mathrm{A}^{\prime} \cap \mathrm{B}^{\prime}
\]
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