B. Let N be the set uf natural mmbers, A = (1...). B={:1srs10, where reN}. %3D (10) State explicitly the elements of the set B (write set B in set-roster uotation). (11) Write set A in set-builder notation (follow the format A = {r €X : P(r)}). For items (12)-(14), Let the mapping F:N+A le definueel as F (r) = . %3D (12) Evaluate F (10) (13) Evaluate 10-F(5) 20. (14) Is the mapping Fa function? Why or why not?
B. Let N be the set uf natural mmbers, A = (1...). B={:1srs10, where reN}. %3D (10) State explicitly the elements of the set B (write set B in set-roster uotation). (11) Write set A in set-builder notation (follow the format A = {r €X : P(r)}). For items (12)-(14), Let the mapping F:N+A le definueel as F (r) = . %3D (12) Evaluate F (10) (13) Evaluate 10-F(5) 20. (14) Is the mapping Fa function? Why or why not?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 29E
Related questions
Question
Please answer items 10-14 only. Please I need this badly.
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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