Question

let a={1,2,3} for X ,Y€A,let xRy if and only if x>y.write down R as a subset of A×A​

Answer 1

SOLUTION

GIVEN

A = { 1,2,3 }

For x , y ∈ A , xRy if and only if x > y

TO DETERMINE

R as a subset of A × A

EVALUATION

Here it is given that

A = { 1,2,3 }

For x , y ∈ A , xRy if and only if x > y

2 > 1 so (2,1) ∈ R

3 > 1 so (3,1) ∈ R

3 > 2 so (3,2) ∈ R

Thus R = { (2,1) , (3,1) , (3,2) }

FINAL ANSWER

R as a subset of A × A is given by

R = { (2,1) , (3,1) , (3,2) }

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