a) Let a be an integer with a > 0. The integer a is even if and only if a = 0 mod 2. Note to self: write out what "if and only if' means. You'll be proving two conditional statements. (b) Write a new theorem: Let a be an integer with a > 0. The integer a is threeven if and only if (Definition of threeven an integer n is called threeven if there exists an integer k so that n = 3k.)
a) Let a be an integer with a > 0. The integer a is even if and only if a = 0 mod 2. Note to self: write out what "if and only if' means. You'll be proving two conditional statements. (b) Write a new theorem: Let a be an integer with a > 0. The integer a is threeven if and only if (Definition of threeven an integer n is called threeven if there exists an integer k so that n = 3k.)
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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![a) Let a be an integer with a > 0. The integer a is even if and only if a = 0 mod 2.
Note to self: write out what "if and only if' means. You'll be proving two conditional
statements.
(b) Write a new theorem:
Let a be an integer with a > 0.
The integer a is threeven if and only if
= 3k.)
(Definition of threeven an integer n is called threeven if there exists an integer k so that n =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98f7a83c-5485-4b59-b870-bc9d699336aa%2Fbabf8343-fa56-499b-b386-16e8884e9a28%2F6bffb2v_processed.png&w=3840&q=75)
Transcribed Image Text:a) Let a be an integer with a > 0. The integer a is even if and only if a = 0 mod 2.
Note to self: write out what "if and only if' means. You'll be proving two conditional
statements.
(b) Write a new theorem:
Let a be an integer with a > 0.
The integer a is threeven if and only if
= 3k.)
(Definition of threeven an integer n is called threeven if there exists an integer k so that n =
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