Given the following truth table for r → (p → q) and (p → q) A (q→ (r → q)) r → (p → q) (p → q) ^ (q→ (r → q))| 4) (pa)A (r → q)) T F T T F F F F F F F T F T F T T F F F F F T T p= and r = is the counterexample showing r → (p → q) is not equivalent to (p → 9) ^ (q→ (r→ q).
Given the following truth table for r → (p → q) and (p → q) A (q→ (r → q)) r → (p → q) (p → q) ^ (q→ (r → q))| 4) (pa)A (r → q)) T F T T F F F F F F F T F T F T T F F F F F T T p= and r = is the counterexample showing r → (p → q) is not equivalent to (p → 9) ^ (q→ (r→ q).
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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Transcribed Image Text:Given the following truth table for r → (p → q) and (p → q) A (q→ (r → q))
r → (p → q) (p → q) ^ (q→ (r → q))
T
F
T
T
F
F
F
F
F
F
F
T
F
F
F
F
F
F
F
T
T
p=
and r =
is the
counterexample showing r → (p q) is not equivalent to
(p → 9) ^ (q→ (r→ q).
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