Discrete one 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.

Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

(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.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...

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Discrete one

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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