Supply a reason for each step to show that the statement p→(q∨p) is a tautology. (Negation, Commutative, Universal Bound, Associative, Disjunctice Law)
Supply a reason for each step to show that the statement p→(q∨p) is a tautology. (Negation, Commutative, Universal Bound, Associative, Disjunctice Law)
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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Supply a reason for each step to show that the statement p→(q∨p) is a tautology. (Negation, Commutative, Universal Bound, Associative, Disjunctice Law)
note: refer to the image
Transcribed Image Text:p→ (q V p) = ~p V (q V p)
= ~p V (p V q)
= (~p V p) V q
=tV q
Step 1
Step 2
Step 3
Step 4
Step 5
= t
Therefore, p → (q v p) is a tautology.
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