For items 1 to 3, Consider the sets A = {1,2,3,4} and B = {a, b, c, d), and the relations o = {(1, b), (2, c), (3, d), (4, a)}, p= A x B₁ T = B x A, and w = (AUB) x (AUB). 1. Which of the relations is (are) an equivalence relation(s) on AUB? A. p only B. T only 2. Which of the relations is (are) a function(s)? A. o only B. w only 3. Which of the relations is (are) a bijection(s)? A. p only B. o only C. w only D. o only C. both p and r D. neither 7 nor o C. both p and o D. none of o, p, T, and w

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For items 1 to 3, Consider the sets A = {1,2,3,4} and B = {a, b, c, d}, and the relations o = {(1, b), (2, c), (3, d), (4, a)},
p= A x B₁ T = B x A, and w = (AUB) x (AUB).
1. Which of the relations is (are) an equivalence relation(s) on AUB?
A. p only
B. 7 only
2. Which of the relations is (are) a function(s)?
A. o only
B. w only
3. Which of the relations is (are) a bijection(s)?
A. p only
B. o only
C. w only
D. o only
C. both p and r
D. neither 7 nor o
C. both p and o
D. none of o, p, T, and w
Transcribed Image Text:For items 1 to 3, Consider the sets A = {1,2,3,4} and B = {a, b, c, d}, and the relations o = {(1, b), (2, c), (3, d), (4, a)}, p= A x B₁ T = B x A, and w = (AUB) x (AUB). 1. Which of the relations is (are) an equivalence relation(s) on AUB? A. p only B. 7 only 2. Which of the relations is (are) a function(s)? A. o only B. w only 3. Which of the relations is (are) a bijection(s)? A. p only B. o only C. w only D. o only C. both p and r D. neither 7 nor o C. both p and o D. none of o, p, T, and w
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