(d) List the elements of the following set S. (If the set has infinitely many elements, just list several of them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain. S={nЄN | P(n,3) }. (e) List the elements of the following set T. (If the set has infinitely many elements, just list several of them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain. T = { n ≤ N | P(n+3,n)}. (f) List the elements of the following set R. (If the set has infinitely many elements, just list several of them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain. R={nЄN [k = N, ¬P(n,k)] }.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 77E
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Let N={1,2,3,4,...}. Let P(x,y) be the predicate that x is less than or equal to y^2

 

(d) List the elements of the following set S. (If the set has infinitely many elements, just list several of
them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain.
S={nЄN | P(n,3) }.
(e) List the elements of the following set T. (If the set has infinitely many elements, just list several of
them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain.
T = { n ≤ N | P(n+3,n)}.
(f) List the elements of the following set R. (If the set has infinitely many elements, just list several of
them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain.
R={nЄN [k = N, ¬P(n,k)] }.
Transcribed Image Text:(d) List the elements of the following set S. (If the set has infinitely many elements, just list several of them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain. S={nЄN | P(n,3) }. (e) List the elements of the following set T. (If the set has infinitely many elements, just list several of them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain. T = { n ≤ N | P(n+3,n)}. (f) List the elements of the following set R. (If the set has infinitely many elements, just list several of them or otherwise clearly describe the set; if the set is empty, just say so.) You do not have to explain. R={nЄN [k = N, ¬P(n,k)] }.
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