The compliment of the union of 2 sets is equal toO the intersection of the compliments of the setsO the union of the setsO the union of the compliments of the setsO the intersection of the sets

1) As per De Morgan's Law of Union: The complement of the union of the two sets A and B will be…

Answered: The compliment of the union of 2 sets…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The compliment of the union of 2 sets is equal to
O the intersection of the compliments of the sets
O the union of the sets
O the union of the compliments of the sets
O the intersection of the sets

Expert Solution

Explanation

1) As per De Morgan's Law of Union:

The complement of the union of the two sets A and B will be equal to the intersection of A' (complement of A) and B' (complement of B)
It can be represented as
- (A ∪ B)’ = A’ ∩ B’

2) So, based on De Morgan's Law of Union, the complement of the union of 2 sets is equal to the intersection of the complement of the sets

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