Reduce the proposition using laws Simplify q∨(w∧¬w) to q Select a law from below to apply to: q∨(w∧¬w)                                                                   Laws Distributive (a∧b)∨(a∧c)≡a∧(b∨c) (a∨b)∧(a∨c)≡a∨(b∧c)   Commutative a∨b≡b∨a a∧b≡b∧a   Complement a∨¬a≡T a∧¬a≡F

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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Reduce the proposition using laws

Simplify q∨(w∧¬w) to q

Select a law from below to apply to: q∨(w∧¬w)  
                                                               
Laws
Distributive
(a∧b)∨(a∧c)≡a∧(b∨c)
(a∨b)∧(a∨c)≡a∨(b∧c)
 
Commutative
a∨b≡b∨a
a∧b≡b∧a
 
Complement
a∨¬a≡T
a∧¬a≡F
 
Identity
a∧T≡a
a∨F≡a
 
Double negation
¬¬a≡a
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