Each of the following defines a relation on the positive integers N 1 ldquo x is greater than y...........

Mathematics (NDA) Set theory

Each of the following defines a relation on the positive integers.N:

1. “x is greater than y”

2. “xy is the square of an integer”

3. x+y =10

Which relation is symmetric and transitive?

2 only

1 only

3 only

1 and 3

“x is greater than y”

Set (2,4),(4,8) ,(2,8) it is transitive

Not symmetric

“xy is the square of an integer”

It is symmetric (4,4) (2,2) and transitive

x+y =10

(5,5) symmetric not transitive

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