Simplify (-q^p)v-(qvp) to -q 1. Select a law from the right to apply (-q^p)v-(qvp)

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 (-q^p)v-(qvp) to -q
1. Select a law from the right to apply
(-q^p)v-(qvp)
Distributive
(a^b)v(a^c) =
(avb)^(avc) m
Commutative
avb
axb
De Morgan's
(a^b)
(avb) E
Conditional
a→b
a+b
=
=
Laws
a^(bvc)
av(b^c)
bva
ba
-av-b
-ax-b
¬аvb
= (a+b)^(b-a)
Complement
av-a = T
а па
-T
-F
Identity
= F
= F
= T
to to
aɅT =a
avF
Double negation
¬¬а =a
=a
-D-D-
Transcribed Image Text:Simplify (-q^p)v-(qvp) to -q 1. Select a law from the right to apply (-q^p)v-(qvp) Distributive (a^b)v(a^c) = (avb)^(avc) m Commutative avb axb De Morgan's (a^b) (avb) E Conditional a→b a+b = = Laws a^(bvc) av(b^c) bva ba -av-b -ax-b ¬аvb = (a+b)^(b-a) Complement av-a = T а па -T -F Identity = F = F = T to to aɅT =a avF Double negation ¬¬а =a =a -D-D-
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We have to simplify the logical expression open parentheses not q logical and p close parentheses logical or not open parentheses q logical or p close parentheses

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