(15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is divisble by 16. (b) a - b is divisible by 4. (c) Is the converse of either part true or false? Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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(15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then:
(a) ab is divisble by 16.
(b) a - b is divisible by 4.
(c) Is the converse of either part true or false? Justify your answer.
Transcribed Image Text:(15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is divisble by 16. (b) a - b is divisible by 4. (c) Is the converse of either part true or false? Justify your answer.
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