6) Show that each of these conditional statements is a tautology without using truth tables. a) (-p →-p c) p→ (-p → -)
6) Show that each of these conditional statements is a tautology without using truth tables. a) (-p →-p c) p→ (-p → -)
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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![Exercises (Cont'd)
6) Show that each of these conditional statements is a tautology without
using truth tables.
a) (p p
b) -p→ (-p v¬q)
c) p→ ("p → -q)
7) Prove the following.
a) (pAq) r = (p-r)v(q-r)
b) p-(q→r) = (r)
8) Find the value of p, q and r for which the statement (pv¬q) → [r+(p^q)]
is false.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9aad5f19-644d-43be-81ff-8223d8f5624b%2F1f97c408-6016-4f82-8279-2923e78b1c3f%2Fdrnrz2s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercises (Cont'd)
6) Show that each of these conditional statements is a tautology without
using truth tables.
a) (p p
b) -p→ (-p v¬q)
c) p→ ("p → -q)
7) Prove the following.
a) (pAq) r = (p-r)v(q-r)
b) p-(q→r) = (r)
8) Find the value of p, q and r for which the statement (pv¬q) → [r+(p^q)]
is false.
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