Prove that for every positive integer n, and sets A and B1, B2, ..., Bn, A - ∩(i=1 to n) Bi = ∪(i=1 to n) (A - Bi).
Question
Solution 1
Sure, let's prove this statement using the principle of mathematical induction.
Base Case (n=1): For n=1, the statement simplifies to A - B1 = A - B1, which is obviously true.
Inductive Step: Assume the statement is true for some positive integer k. That is, we assume that A - ∩(i=1 to k) Bi = ∪( Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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