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(3) Prove or disprove. show your work . (a) for any integers n a and m : if both n and m are odd , then n- m2 is even (b) Vp e Z*: if p is prime, then p-2 is not prime. (c) Vs e R : s is irrational s? is irrational. (d) There is two odd integers n and m such that n2 – m2 – 1 is odd.

(3) Prove or disprove. show your work . (a) for any integers n a and m : if both n and m are odd , then n- m2 is even (b) Vp e Z*: if p is prime, then p-2 is not prime. (c) Vs e R : s is irrational s? is irrational. (d) There is two odd integers n and m such that n2 – m2 – 1 is odd.

Advanced Engineering Mathematics
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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6:44 (3) Prove or disprove. show your work . (a) for any integers n a and m : if bothn and m are odd, then n– m2 is even (b) Vp € Z+: if p is prime, then p- 2 is not prime. (c) Vs ER: s is irrational → s2 is irrational, (d) There is two odd integers n and m such that n? – m2 – 1 is odd.
Transcribed Image Text:6:44 (3) Prove or disprove. show your work . (a) for any integers n a and m : if bothn and m are odd, then n– m2 is even (b) Vp € Z+: if p is prime, then p- 2 is not prime. (c) Vs ER: s is irrational → s2 is irrational, (d) There is two odd integers n and m such that n? – m2 – 1 is odd.
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