Please answer the part C and D only. 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 tastevlall the items in the food tmemu.D. Suppose • is a binary operation from Z x N to Z defined bym•i = m² + 2n.Evaluate mn if m =-7 and n = 10.

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C. Negate the following statements and re-express the result in equivalent pusitive form: I have already tasted all the items in the food tuem. D. Suppose • is a binary operation from Z x N to Z defined by m•n = m² + 2n. Evaluate m•n if m = -7 and n= 10.

C. Negate the following statements and re-express the result in equivalent pusitive form: I have already tasted all the items in the food tuem. D. Suppose • is a binary operation from Z x N to Z defined by m•n = m² + 2n. Evaluate m•n if m = -7 and n= 10.

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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