(1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7). Compute the followingsets(a) A x B(b) (ANC) - B(c) BUC(d) AC(2) Let a, b and c be integers. If alb and alc, then a (b + c).

By the authoring guidelines of Bartleby, we can answer only first three subparts, please post other…

Answered: (1) Let A = {1, 2, 3, 4}, B = {2, 4,…

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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Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2, 5), (3, 3), (3, 4), (3, 5), (4, 4), (4, 5), (5, 5)}. a. Write MR. b. Determine whether R is symmetric by studying Mr. c. Determine whether R is anti-symmetric by studying MR. d. Find MR+. e. Find Rt from MR+.
4. Which of the following set represents functions? * O A={(2,5),(1,0),(3,1),((4,2)} B={(1,0),(1,2),(1,3),(2,1)} O c=((6,1),(2,4),(1,8),(1,5)} O D=((6,4),(2,0),(1,2), (1,5)} 5. A properties of realtion that states that" every element in sets is related to itself" Refelexive Symmetric Transitive O Anti -symmetric
1. Let A = = {1,2} and let B = {x,y}. Write out the following sets by listing out all of their elements. (a) Ax B and B x A (b) P(A) and P(B) (c) P(A) × P(B) (d) P(A x B)
. Evaluate each of the sets A-E and write the answer in list format: (a) A = NUZ (b) B = {2x x € Z}nN+ (c) C = {-4, -3, -2, -1,0, 1, 2, 3, 4} \ {x € Z : [x] is a prime number} (d) D = {n €Z:n −3} (e) E = {} \ {}.
For the set [-0,4) U{5,9}U(6,7), JA = {4,5,6,7 } ylgn İhi
Consider the following sets A = {Z, {0}, {1, 2}, 3} B = {3, {1,0}, 1, 2, N} What is BA? OB\A={{1,0}, 1, 2} ○ B \ A = {{1,0}, N} OB\A={{1,0}, 1, 2, N} OB\A= {0, {1,0}, 1, 2, N}
Given the sets X={0}X={0}, A={−1,0,1}A={−1,0,1}, and B={4,5}B={4,5}, Find the following: n(X) n(A x B) n(X x B) n(2x) n(2B) n(A x X)
Let R1 = { (a,-1), (c,0), (d,1) } and R2 = { (a,-1), (c,-1), (d,0), (u,0), (u,1)} be subsets of A * B where A = {a,c,d,u} and B = { -1,0,1} Give the set R2\R1
38

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(1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7}. Compute the following sets D