Consider the following relations: R1 = {(a, b) ∈ R2 ∣ a > b}, the greater...

Consider the following relations:

R₁ = {(a, b) ∈ R² ∣ a > b}, the greater than relation
R₂ = {(a, b) ∈ R² ∣ a ≥ b}, the greater than or equal to relation
R₃ = {(a, b) ∈ R² ∣ a < b}, the less than relation
R₄ = {(a, b) ∈ R² ∣ a ≤ b}, the less than or equal to relation
R₅ = {(a, b) ∈ R² ∣ a = b}, the equal to relation
R₆ = {(a, b) ∈ R² ∣ a ≠ b}, the unequal to relation

For these relations on the set of real numbers, find

R2∘R1

R2∘R2

R3∘R5

R4∘R1

R5∘R3

R3∘R6

R4∘R6

R6∘R6

Solutions

Expert Solution

If you have any doubts please ask me in comments ...

Here i used general definiton of composition of relations....

Colby Messinger answered 1 year ago

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