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(5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly which ordered pairs are in Cartesian Product A x B. (7) State explicitly which ordered pairs are in the relation R. (8) What are the domain and co-domain of R? (9) Is A x BCR? Why or why not? answer 5-9 for upvote

(5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly which ordered pairs are in Cartesian Product A x B. (7) State explicitly which ordered pairs are in the relation R. (8) What are the domain and co-domain of R? (9) Is A x BCR? Why or why not? answer 5-9 for upvote

Advanced Engineering Mathematics
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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A. Let A = {-2,-1,0, 1, 2}, B = {1, 2,5}, C = {n² € R:n € A}. For items (1)-(4), write TRUE if the statement below is true, write FALSE otherwise. (1) (2) Statement: 2 € A. Statement: BCA. (3) (4) For items (5)-(9), define a relation R from A to B as follows: Given any (x, y) = A x B, (x, y) = R iff y = x² +1. (5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly which ordered pairs are in Cartesian Product A x B. (7) State explicitly which ordered pairs are in the relation R. The statement "For every natural number n, n is positive" is equivalent to Vn E N, n ≥ 0. The statement "If x² = 9, then x = 3 or x = -3" is a conditional statement. (8) What are the domain and co-domain of R? (9) Is A x B C R? Why or why not? answer 5-9 for upvote
Transcribed Image Text:A. Let A = {-2,-1,0, 1, 2}, B = {1, 2,5}, C = {n² € R:n € A}. For items (1)-(4), write TRUE if the statement below is true, write FALSE otherwise. (1) (2) Statement: 2 € A. Statement: BCA. (3) (4) For items (5)-(9), define a relation R from A to B as follows: Given any (x, y) = A x B, (x, y) = R iff y = x² +1. (5) State explicitly the elements of C (write set C in set-roster notation) (6) State explicitly which ordered pairs are in Cartesian Product A x B. (7) State explicitly which ordered pairs are in the relation R. The statement "For every natural number n, n is positive" is equivalent to Vn E N, n ≥ 0. The statement "If x² = 9, then x = 3 or x = -3" is a conditional statement. (8) What are the domain and co-domain of R? (9) Is A x B C R? Why or why not? answer 5-9 for upvote
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