Neco 2023 Further Mathematics Question 47

Practice objective / multiple choice question 47 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Easy Difficulty

Question 47 NECO • 2023 • FURTHER_MATHEMATICS • objective

On the set \( S=\{1,2,3,4\} \) define a relation \( R \) by \( (x,y)\in R \) iff \( x+y \) is even. State whether \( R \) is an equivalence relation and give the number of equivalence classes.

Correct Answer A. Yes; it is an equivalence relation and it has 2 equivalence classes.

B. No; it is not an equivalence relation.

C. Yes; it is an equivalence relation and it has 3 equivalence classes.

D. Yes; it is an equivalence relation and it has 4 equivalence classes.

Correct Answer

Correct Option:

Yes; it is an equivalence relation and it has 2 equivalence classes.

This is Neco 2023 Further Mathematics Question 47. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Easy .

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