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A. Let A (-2,-1,0.1.2).B {1,2,5).C = {n eR:n e A). For items (1)-(4). write TRUE if thr statement beluw is true, write FALSE otherwise. (1) Statement: -2 E A. - Statement: B C A. The statement "For every natural mmber n, n is positive" is equivalent to Vn EN.n 20. The statement "If = 9, then r= 3 or r= -3" is a conditional statement. (2) (3) (4) For items (5)-(9). define a relation R from A to B as follows: Given any (r.y) e A x B. (1. y) E R iff y =r +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 orderedl pairs are in the relation R. (8) What are the domain and co-domain of R? (9) Is Ax BS R? Why or why not?

A. Let A (-2,-1,0.1.2).B {1,2,5).C = {n eR:n e A). For items (1)-(4). write TRUE if thr statement beluw is true, write FALSE otherwise. (1) Statement: -2 E A. - Statement: B C A. The statement "For every natural mmber n, n is positive" is equivalent to Vn EN.n 20. The statement "If = 9, then r= 3 or r= -3" is a conditional statement. (2) (3) (4) For items (5)-(9). define a relation R from A to B as follows: Given any (r.y) e A x B. (1. y) E R iff y =r +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 orderedl pairs are in the relation R. (8) What are the domain and co-domain of R? (9) Is Ax BS R? Why or why not?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please solve items 5-9 only urgently. 

A. Let A = (-2,-1,0,1.2).B {1,2.5).C {n eR: E A). For items (1)-(4), write TRUE if thr statement beluw is true, write FALSE otherwise. (1) Statement: -2 E A. (2) Statement: BC A. The statement "For every natural mumber n, n is positive" is equivalent to Vn e N. 2 0. The statement "If = 9, then r= 3 or r = -3" is a conditional statement. For items (5)-(9). define a relation R from A to B as follws: Given any (r.y) € A x B, (3) (4) (1, 4) E R ilf y = r +1. (5) State explicitly the clements 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 airs are in the relation R. (8) What are tlhe domain and co-domain of R? (9) Is Ax BC R? Why or why not? B. Let N he the set uf natural mmbers, A = (1..1.1).B={:1srs 0, where r E N}. (10) State explicitly the elements of the set B (write set B in set-ruster uotation). (11) Write set A in set-builder notation (follow the format A = {r €X : P(r)}). For iteus (12)-(11). Let the mapping F:N+ A be defined as F (r) = !. %3D (12) Evaluate F (10) (13) Evaluate 10)- F (5) - 20. (14) Is the mapping Fa function? Why or why not? C. Negate the following statements and re-express the result in equivalent positive form: I have already tastevl all the items in the food tmemu. D. Suppose • is a binary operation from Z x N to Z defined by m•i = m² + 2n. Evaluate mn if m =-7 and n = 10.
Transcribed Image Text:A. Let A = (-2,-1,0,1.2).B {1,2.5).C {n eR: E A). For items (1)-(4), write TRUE if thr statement beluw is true, write FALSE otherwise. (1) Statement: -2 E A. (2) Statement: BC A. The statement "For every natural mumber n, n is positive" is equivalent to Vn e N. 2 0. The statement "If = 9, then r= 3 or r = -3" is a conditional statement. For items (5)-(9). define a relation R from A to B as follws: Given any (r.y) € A x B, (3) (4) (1, 4) E R ilf y = r +1. (5) State explicitly the clements 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 airs are in the relation R. (8) What are tlhe domain and co-domain of R? (9) Is Ax BC R? Why or why not? B. Let N he the set uf natural mmbers, A = (1..1.1).B={:1srs 0, where r E N}. (10) State explicitly the elements of the set B (write set B in set-ruster uotation). (11) Write set A in set-builder notation (follow the format A = {r €X : P(r)}). For iteus (12)-(11). Let the mapping F:N+ A be defined as F (r) = !. %3D (12) Evaluate F (10) (13) Evaluate 10)- F (5) - 20. (14) Is the mapping Fa function? Why or why not? C. Negate the following statements and re-express the result in equivalent positive form: I have already tastevl all the items in the food tmemu. D. Suppose • is a binary operation from Z x N to Z defined by m•i = m² + 2n. Evaluate mn if m =-7 and n = 10.
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