Determine whether the following statements are true or false. a) {2, 4, 6, 8} ⊂ {1, 2, 3, 4, 5, 6, 7, 8} b) 8 ∈ {1, 2, 3, 4, 5, 6, 7, 8} c) 9 ∉ {1, 2, 3, 4, 5, 6, 7, 8}
Determine whether the following statements are true or false. a) {2, 4, 6, 8} ⊂ {1, 2, 3, 4, 5, 6, 7, 8} b) 8 ∈ {1, 2, 3, 4, 5, 6, 7, 8} c) 9 ∉ {1, 2, 3, 4, 5, 6, 7, 8}
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 16E: In Exercises , prove each statement.
16. If and , then .
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Question
Determine whether the following statements are true or false.
a) {2, 4, 6, 8} ⊂ {1, 2, 3, 4, 5, 6, 7, 8}
b) 8 ∈ {1, 2, 3, 4, 5, 6, 7, 8}
c) 9 ∉ {1, 2, 3, 4, 5, 6, 7, 8}
d) 8 ⊆ {1, 2, 3, 4, 5, 6, 7, 8}
e) {0, 1, 2} ∩ {3, 4, 5, 6, 7, 8} = ∅
f) {0, 1, 2, 3, 4, 5, 6, 7, 8} ∩ {2, 4, 6, 8} = {2, 4, 6, 8}
g) {0, 1, 2} ∪ {1, 2, 3, 4, 5, 6, 7, 8} = {0, 1, 2 }
h) ∅⊆ {1, 2, 3, 4, 5, 6, 7, 8}
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