Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). f. Let a be a 3-digit integer. Then 3 divides a if and only if 3 divides the sum of the digits of a. g. For every integer n, if 12|n² then 12|n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Each of the following statements is either true or false. Determine for each
one whether it is true or false, if it is true prove it and if it is false disprove
it (that is, prove its negation).
f. Let a be a 3-digit integer. Then 3 divides a if and only if 3 divides the
sum of the digits of a.
g. For every integer n, if 12|n² then 12 n.
Transcribed Image Text:Each of the following statements is either true or false. Determine for each one whether it is true or false, if it is true prove it and if it is false disprove it (that is, prove its negation). f. Let a be a 3-digit integer. Then 3 divides a if and only if 3 divides the sum of the digits of a. g. For every integer n, if 12|n² then 12 n.
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