Let the universe of discourse N be the set of natural integers. Consider the following families of sets: Ak = {n ∈ N |0 ≤ n ≤ k} Bk = {n ∈ N | n ≥ k} Knowing that i < j, give the cardinality of the following set as a function of I and j. If the set is infinite, write infinite. 1.Aj ∩ Bi 2.Ai ∩ Bj 3.Ai ∩ Aj
Let the universe of discourse N be the set of natural integers. Consider the following families of sets: Ak = {n ∈ N |0 ≤ n ≤ k} Bk = {n ∈ N | n ≥ k} Knowing that i < j, give the cardinality of the following set as a function of I and j. If the set is infinite, write infinite. 1.Aj ∩ Bi 2.Ai ∩ Bj 3.Ai ∩ Aj
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let the universe of discourse N be the set of natural integers. Consider the following families of sets:
Ak = {n ∈ N |0 ≤ n ≤ k}
Bk = {n ∈ N | n ≥ k}
Knowing that i < j, give the cardinality of the following set as a function of I and j. If the set is infinite, write infinite.
1.Aj ∩ Bi
2.Ai ∩ Bj
3.Ai ∩ Aj
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