1. Let R1 = { (1, 2), (2, 3), (3, 4) } and R2 = { (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4) } be relations from {1, 2, 3} to {1, 2, 3, 4}. Find a. R1 ∪ R2 b. R1 ∩ R2 c. R1 - R2 d. R2 - R1

Question

Mathematics

Adyson

24 January, 04:05

1. Let R1 = { (1, 2), (2, 3), (3, 4) } and R2 = { (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4) } be relations from {1, 2, 3} to {1, 2, 3, 4}. Find a. R1 ∪ R2 b. R1 ∩ R2 c. R1 - R2 d. R2 - R1

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Answers (1)

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Lance Taylor · Answer 1

a) R1 ∪ R2={ (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4) }

b) R1 ∩ R2 = { (1, 2), (2, 3), (3, 4) }

c) R1 - R2 = ∅

d) R2 - R1 = { (1, 1), (2, 1), (2, 2), (3, 1), (3, 2), (3, 3) }

Step-by-step explanation:

We know that:

R1 = { (1, 2), (2, 3), (3, 4) }

R2 = { (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4) }

Therefore, we get

a) R1 ∪ R2={ (1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4) }

b) R1 ∩ R2 = { (1, 2), (2, 3), (3, 4) }

c) R1 - R2 = ∅

d) R2 - R1 = { (1, 1), (2, 1), (2, 2), (3, 1), (3, 2), (3, 3) }