let r be a relation defined on set s where s is the set of all people in usa, and x r y means that x and y can communicate using the same spoken language. the relation r on s is reflexive.



Answer :

Based on the information illustrated,

the relation r on s is reflexive. Therefore, it's true.

How to explain the information?

If every component of a set X is related to one another, then a relation R over that set is said to be reflexive.

If (a, a) R for all  A, that is, if every element of A is R-related to itself, or if aRa for every a A, then R is set to be reflexive.

In the example question, S is the set of all Park students, and R is a relation over S.

When a relationship is described as xRy, it signifies that x and y have the same biological mother.

This relation is obviously a reflexive relation. xRx means x and x has the same biological mother. In this case, the relation satisfies the requirement for all aR (a,a) R.

Therefore, it's true.

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