Into how many equivalence classes does this…

Into how many equivalence classes does this remainder relation split A?

Question 50

EasyOriginal question

On $A = \{1, 2, 3, 4, 5, 6\}$ , the relation $R$ is $a \mathrel{R} b$ if $a - b$ is divisible by 3.

Into how many equivalence classes does this remainder relation split $A$ ?

2

Correct answerYour answer

3

Correct answerYour answer

4

Correct answerYour answer

6

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

Worth noting

6 counts the elements, not the classes.

Ten questions from Relations & Functions, at your own pace.

Ten questions from Relations & Functions, at your own pace.