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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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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