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

Solutions

Expert Solution

Please check out the solution given below... For any doubt,please let me know... Thank you...

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 1 year ago

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