For each of the following, construct a truth table to show the following pairs of statements ar logically equivalent, contradictory, or unrelated statements: 1. (p+ q)Ar and (pAr) → q 2. pA(qVr) and (p^q)A(p\r) 3. (p → q)V(p → q) and (p → q)A(p → q)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each of the following, construct a truth table to show the following pairs of statements are
logically equivalent, contradictory, or unrelated statements:
1. (ред)Лr and (p^r) — q
2. pA(qVr) and (p^q)A(p\r)
3. (p → q)V(p → q) and (p → q)A(p → q)
4. pA[(pAq) → (r^q)] and p + [(p+ q) → (rVq)].
5. (р — г)Ля аnd (r > p)Vq
Transcribed Image Text:For each of the following, construct a truth table to show the following pairs of statements are logically equivalent, contradictory, or unrelated statements: 1. (ред)Лr and (p^r) — q 2. pA(qVr) and (p^q)A(p\r) 3. (p → q)V(p → q) and (p → q)A(p → q) 4. pA[(pAq) → (r^q)] and p + [(p+ q) → (rVq)]. 5. (р — г)Ля аnd (r > p)Vq
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