A = all whole numbers except 12 B = all whole numbers except 17 C= {5, 6, 7, 8, 9, ..} %3D a. Is A closed under addition? (If not, prove it.) b. Is A closed under multiplication? (If not, prove it.) c. Is B closed under multiplication? (If not, prove it.) d. Is C closed under multiplication? (If not, prove it.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
Question
A = all whole numbers except 12
B = all whole numbers except 17
C= {5, 6, 7, 8, 9, ..}
%3D
a. Is A closed under addition? (If not, prove it.)
b. Is A closed under multiplication? (If not, prove it.)
c. Is B closed under multiplication? (If not, prove it.)
d. Is C closed under multiplication? (If not, prove it.)
Transcribed Image Text:A = all whole numbers except 12 B = all whole numbers except 17 C= {5, 6, 7, 8, 9, ..} %3D a. Is A closed under addition? (If not, prove it.) b. Is A closed under multiplication? (If not, prove it.) c. Is B closed under multiplication? (If not, prove it.) d. Is C closed under multiplication? (If not, prove it.)
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