Simplify (qq) to F 1. Select a law from the right to apply -(q→¬¬q)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Simplify (qq) to F
1. Select a law from the right to apply
-(q→¬¬q)
Distributive
(a^b)v(a^c) ■
(avb)^(avc)
Commutative
avb
axb
De Morgan's
Conditional
(a^b) =
-(avb) E
a-b
=
a+b
E
=
E
Laws
a^(bvc)
av(b^c)
bva
bxa
-av-b
-a-b
¬аvb
(a+b)^(b→a)
Complement
av ¬a
а па
¬T
-F
Identity
= T
E
TFF
= F
= T
a^T =a
avF =a
Double negation
¬¬а =a
DD-
Transcribed Image Text:Simplify (qq) to F 1. Select a law from the right to apply -(q→¬¬q) Distributive (a^b)v(a^c) ■ (avb)^(avc) Commutative avb axb De Morgan's Conditional (a^b) = -(avb) E a-b = a+b E = E Laws a^(bvc) av(b^c) bva bxa -av-b -a-b ¬аvb (a+b)^(b→a) Complement av ¬a а па ¬T -F Identity = T E TFF = F = T a^T =a avF =a Double negation ¬¬а =a DD-
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