Discrete math 5. Determine which formula pairs are equivalent. If equivalent, prove it using the laws of equivalenceand mention the laws used at each step. If it is not equivalent, give an interpretation that makes thetruth value different.a. r^(p→q) v (-q › r) and (˜r → p) ↔ ((p →q) ^ r)b. (p→s) V (r^r Vp ^¯q) ^ (q → r) and ¯p V¬q VrV sc. (pr) ^ (q→ p) ^ (r →¯p) and¯p ^r V p^r

We will use the truth table to check if each pair is equivalent. (a) r∧p→q∨~q→r and ~r→p↔p↔q∧r…

Answered: Determine which formula pairs 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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Determine which formula pairs are equivalent. If equivalent, prove it using the laws of equivalence and mention the laws used at each step. If it is not equivalent, give an interpretation that makes the truth value different.