Maths · Relations, type of relations, equivalence relations
Give a relation ,(2,3)\} \) on the set of natural numbers, add a minimum number
Give a relation \( \mathrm{R}=\{(1,2),(2,3)\} \) on the set of natural numbers, add a minimum number of ordered pairs. This question has multiple correct options
- A. enlarged relation is symmetric
- B. enlarged relation is transitive
- C. enlarged relation is reflexive.
- D. enlarged relation is equivalence relation
Step-by-step solution
To make the relation transitive, we need to add (1,3) because (1,2) and (2,3) imply (1,3). This is the minimum addition (1 pair) to achieve transitivity.
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