Consider the following predicates defined on N + .E(n) denotes “n is even”, and P (n) denotes “n is prime”. (b) Write the following propositions in symbolic form. i. If n is even, then 2 n + 1 is prime. ii. Not every positive integer is either even or prime

Consider the following predicates defined on N + .E(n) denotes “n is even”, and P (n) denotes “n is prime”. (b) Write the following propositions in symbolic form. i. If n is even, then 2 n + 1 is prime. ii. Not every positive integer is either even or prime

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

Consider the following predicates defined on

N + .E(n) denotes “n is even”, and P (n) denotes “n is prime”.

(b) Write the following propositions in symbolic form.
i. If n is even, then 2 n + 1 is prime.
ii. Not every positive integer is either even or prime

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