Click and drag on elements in order Suppose that A = {1, 2, 3, 4, 5 } and B = {1, 3, 5). Let R₁ = {(1, 1), (2, 1), (2, 3), (2, 5), (3, 1), (3, 5), (4, 1), (5, 3), (5, 5)) and R₂ = {(1, 1), (1, 3), (1, 5), (2, 3), (3, 1), (3, 3), (4, 1) }. List the relations R₁ U R2, R₁ R2, R₁ -- R2, R2 -- R₁, and R₁ R₂ in order of decreasing cardinality (largest on top). i Instructions R₁ R₂ R₂ - R₁ R₁ U R2 R₁ + R₂ R₁ - R2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that A = { 1, 2, 3, 4, 5 } and B = { 1, 3, 5 }. Let R1 = { (1, 1), (2, 1), (2, 3), (2, 5), (3, 1), (3, 5), (4, 1), (5, 3), (5, 5) } and R2 = { (1, 1), (1, 3), (1, 5), (2, 3), (3, 1), (3, 3), (4, 1) }. List the relations R1 ∪ R2, R1 ∩ R2, R1 -- R2, R2 -- R1, and R1 ⊕ R2 in order of decreasing cardinality (largest on top).

Click and drag on elements in order
Suppose that A = { 1, 2, 3, 4, 5 } and B = { 1, 3, 5 }. Let R₁ = {(1, 1), (2, 1), (2, 3), (2, 5), (3, 1), (3, 5), (4, 1), (5, 3), (5, 5)) and R₂ = {(1, 1), (1, 3), (1, 5), (2, 3), (3, 1), (3, 3), (4, 1) }.
List the relations R₁ U R₂, R₁
R2, R₁ -- R2, R2 -- R₁, and R₁
R₂ in order of decreasing cardinality (largest on top).
(i) Instructions
R₁ R₂
R₂ - R₁
R₁ U R2
R₁ + R₂
R₁ - R₂
Transcribed Image Text:Click and drag on elements in order Suppose that A = { 1, 2, 3, 4, 5 } and B = { 1, 3, 5 }. Let R₁ = {(1, 1), (2, 1), (2, 3), (2, 5), (3, 1), (3, 5), (4, 1), (5, 3), (5, 5)) and R₂ = {(1, 1), (1, 3), (1, 5), (2, 3), (3, 1), (3, 3), (4, 1) }. List the relations R₁ U R₂, R₁ R2, R₁ -- R2, R2 -- R₁, and R₁ R₂ in order of decreasing cardinality (largest on top). (i) Instructions R₁ R₂ R₂ - R₁ R₁ U R2 R₁ + R₂ R₁ - R₂
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