Mathmetical resonning（please show with steps and explanation） Thank u！ 1. Use truth tables to show the following statements are equivalent for any statements P,Q, and R:(a) (P = Q) is equivalent to (Q or (not P)).(b) (not (P = Q)) is equivalent to (P and (not Q)).(c) ((P→R) and (Q= R)) is equivalent to ((P or Q) = R).

Answered: 1. Use truth tables to show the…

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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1. Use truth tables to show the following statements are equivalent for any statements P, Q, and R: (a) (P=Q) is equivalent to (Q or (not P)). (b) (not (P →Q)) is equivalent to (P and (not Q)). (c) ((P=R) and (Q=R)) is equivalent to ((P or Q) →R).