Simplify -(qv(n^¬q)) to ¬q^-n 1. Select a law from the right to apply Laws Distributive Complement -(qv(n^¬q)) (anb)v(a^c) an(bvc) ava ET (avb)^(avc) av(bAc) ала F Commutative -T E F avb bva -F ET anb ba Identity De Morgan's алт аль) -av-b avF E a -(avb) -an-b Double negation Conditional ma E a a-b ¬avb ab (a-b)^(b¬a) II II II III II III II II II

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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I need help with this problem, please list out the laws that were used.

Simplify -(qv(n^¬q)) to -q^-n
1. Select a law from the right to apply
Laws
Distributive
Complement
-(qv(n^¬q))
(anb)v(anc)
an(bvc)
av-a ET
(avb)^(avc)
av(bAc)
ал та F
Commutative
-T
= F
avb
bva
-F
= T
anb
bла
Identity
De Morgan's
ant E a
-(aab)
-av-b
avF E a
-(avb)
-ал-b
Double negation
Conditional
ma E a
a-b
¬avb
a+b
(a-b)A(b¬a)
III
II
II
II
II
II
II
II
Transcribed Image Text:Simplify -(qv(n^¬q)) to -q^-n 1. Select a law from the right to apply Laws Distributive Complement -(qv(n^¬q)) (anb)v(anc) an(bvc) av-a ET (avb)^(avc) av(bAc) ал та F Commutative -T = F avb bva -F = T anb bла Identity De Morgan's ant E a -(aab) -av-b avF E a -(avb) -ал-b Double negation Conditional ma E a a-b ¬avb a+b (a-b)A(b¬a) III II II II II II II II
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