Answered: Using exclusively induction, prove…

Using exclusively induction, prove that, if X, X1, X2, . . . , Xn are sets, then X ∩(X1 ∪ X2 ∪ · · · ∪ Xn) = (X ∩ X1)∪(X ∩ X2)∪· · ·∪(X ∩ Xn).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 35E

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Using exclusively induction, prove that, if X, X1, X2, . . . , Xn are sets,
then X ∩(X1 ∪ X2 ∪ · · · ∪ Xn) = (X ∩ X1)∪(X ∩ X2)∪· · ·∪(X ∩ Xn).

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