1. Let the universal set U = {x | x is a non-negative integer}. Let A = {x ∈ U | x is divisible by 6}, B = {x ∈ U | x is divisible by 3} and C = {x ∈ U | x is divisible by 4}. By listing, determine A ∪ C. 2. Let the universal set U = {x | x is a non-negative integer}. Let A = {x ∈ U | x is divisible by 6}, B = {x ∈ U | x is divisible by 3} and C = {x ∈ U | x is divisible by 4}. By listing, determine B ∩ C. 3. Let U = (−∞,∞), A = [−1, 6], B = [−6, 2). In interval notation, determine A ∩ B. 4. Let U = (−∞,∞), A = [−1, 6], B = (−6, 2). In interval notation, determine A − B.
1. Let the universal set U = {x | x is a non-negative integer}. Let A = {x ∈ U | x is divisible by 6}, B = {x ∈ U | x is divisible by 3} and C = {x ∈ U | x is divisible by 4}. By listing, determine A ∪ C. 2. Let the universal set U = {x | x is a non-negative integer}. Let A = {x ∈ U | x is divisible by 6}, B = {x ∈ U | x is divisible by 3} and C = {x ∈ U | x is divisible by 4}. By listing, determine B ∩ C. 3. Let U = (−∞,∞), A = [−1, 6], B = [−6, 2). In interval notation, determine A ∩ B. 4. Let U = (−∞,∞), A = [−1, 6], B = (−6, 2). In interval notation, determine A − B.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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1. Let the universal set U = {x | x is a non-negative integer}. Let A = {x ∈ U | x is divisible by 6}, B = {x ∈ U | x is divisible by 3} and C = {x ∈ U | x is divisible by 4}. By listing, determine A ∪ C.
2. Let the universal set U = {x | x is a non-negative integer}. Let A = {x ∈ U | x is divisible by 6}, B = {x ∈ U | x is divisible by 3} and C = {x ∈ U | x is divisible by 4}. By listing, determine B ∩ C.
3. Let U = (−∞,∞), A = [−1, 6], B = [−6, 2). In interval notation, determine A ∩ B.
4. Let U = (−∞,∞), A = [−1, 6], B = (−6, 2). In interval notation, determine A − B.
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