Prove that if A1, A2,…, An are subsets of a universal

Chapter 5, Problem 43E

(choose chapter or problem)

Prove that if $A_{1}, A_{2}, \ldots, A_{n}$ are subsets of a universal set $U$, then

$\overline{\bigcup_{k=1}^{n} A_{k}}=\bigcap_{k=1}^{n} \overline{A_{k}}$..

Equation Transcription:

${A}_{1},\ {A}_{2}\ ...,\ {A}_{n}$

$U$

$\overline{\bigcup\limits_{k=1}^{n}}\ {A}_{k}\ =\ {\cap{}}_{k\ =\ 1}^{n}\ \overline{{A}_{k}}$

Text Transcription:

A_{1}, A_{2}, \ldots, A_{n}

\overline{\bigcup_{k=1}^{n} A_{k}}=\bigcap_{k=1}^{n} \overline{A_{k}} .

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