Solved: Prove that if A1, A2,…, An and B are sets, then

Chapter 5, Problem 42E

(choose chapter or problem)

Prove that if \(A_{1}, A_{2}, \ldots, A_{n}\) and \(B\) are sets, then

\(\begin{aligned}\left(A_{1}-B\right) & \cap\left(A_{2}-B\right) \cap \cdots \cap\left(A_{n}-B\right) \\

=&\left(A_{1} \cap A_{2} \cap \cdots \cap A_{n}\right)-B .\end{aligned}\)

Equation Transcription:

Text Transcription:

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

B

(A_{1}-B)  \cap\left(A_{2}-B\right) \cap \cdots \cap\left(A_{n}-B\right)

=(A_{1} \cap A_{2} \cap \cdots \cap A_{n}\right)-B .

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