What is the equivalence class of 2 under this…

What is the equivalence class of 2 under this remainder relation?

Question 54

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.

What is the equivalence class of 2 under this remainder relation?

\{2\}

Correct answerYour answer

\{2, 4, 6\}

Correct answerYour answer

\{1, 2, 3\}

Correct answerYour answer

\{2, 5\}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

$\{2, 4, 6\}$ is the even numbers, the class for 'divisible by 2'.

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

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