Question

In: Computer Science

Write down all of the properties that each of the following relations satisfies from among the...

Write down all of the properties that each of the following relations satisfies from among the properties of reflexive, symmetric, transitive, irreflexive, and antisymmetric.

1. R = {(a,b) | a^2 + b^2 = 1} over the real numbers.

2. R = {(a,b) | a^2 = b^2} over the real numbers

Expert Solution

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Note: stands for set of real number

1) the given relation is

a)Not Reflexive

b) Symmetric

c) Not Transitive

d) Not Irreflexive

e) Not Antisymmetric

2) the given relation is

a) Reflexive

b) Symmetric

c)Transitive

d) Not Irreflexive

e) Not Antisymmetric

venereology answered 2 years ago

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