I-B. Show that the following are tautologies.a) (р ^а) — рb) р — (pVq)c) ((p → q) ^ (q → r)) → (p → r)d) ((p V q) ^ (~p)) → qe) ((p → r) ^ (q →r)) → ((p V q) →r)

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Answered: I-B. Show that the following are…

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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I-B. Show that the following are tautologies. a) (р ^а) — р b) р — (рVq) c) ((p → q) ^ (q → r)) → (p → r) d) ((pvq)л(~р)) — q e) ((p → r) A (q →r)) → ((p V q) → r)