Let A ={ x∈Z | x=5a+2 for some integer a }, B ={y∈Z | y=10b-3 for some integer b }, C={ z∈Z | z=10c+7 for some integer z}, prove or disprove each of the following statements : a) A ⊆ B b) B ⊆ A c) B=C
Let A ={ x∈Z | x=5a+2 for some integer a }, B ={y∈Z | y=10b-3 for some integer b }, C={ z∈Z | z=10c+7 for some integer z}, prove or disprove each of the following statements : a) A ⊆ B b) B ⊆ A c) B=C
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 25E: Let ,, and be integers. Prove or disprove that implies or .
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Let A ={ x∈Z | x=5a+2 for some integer a },
B ={y∈Z | y=10b-3 for some integer b },
C={ z∈Z | z=10c+7 for some integer z}, prove or disprove each of the following statements :
a) A ⊆ B
b) B ⊆ A
c) B=C
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