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DISCRETE MATH. Show the logical equivalence of the following, do include a truth table. 13. ¬(p → q) ≡ p ∧ ¬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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Question

DISCRETE MATH.

Show the logical equivalence of the following, do include a truth table.

13. ¬(p → q) ≡ p ∧ ¬q
14. (p → q) ∧ (p → r) ≡ p → (q ∧ r)
15. (p → r) ∧ (q → r) ≡ (p ∨ q) → r
16. (p → q) ∨ (p → r) ≡ p → (q ∨ r)

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