Accepting the premises: → (q ^ s) 1. 2. pvr Conclude p. r→ 3. ¬q V¬t 4. t^s
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 49RE
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Question
Discrete Math. Inference. Show step by step how to conclude p. The solution much look like the example I provided.
Transcribed Image Text:Accepting the premises:
r (q ^ s)
1.
2. pvr
Conclude p.
3. ¬q V¬t
4.
t^ s
Transcribed Image Text:Accepting the following premises:
1. p
2.
p-q
3. svr
4. r-q
Conclude (s V t) using the rules of inference and/or laws of logic.
(2)
(3)
(4)
P
q
AS
r
sVt
Premise 1
Premise 2, MP
Premise 4 (with negation), MT
Premise 3, disjunctive syllogism
Disjunctive amplification
...as desired. If these premises hold true, s V t must as well.
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