On $A = \{1, 2, \ldots, 9\}$ , $R$ is given by $a \mathrel{R} b$ if $a$ and $b$ leave the same remainder on division by 3. What is the equivalence class of 5?

\{3, 6, 9\}

Correct answerYour answer

\{5, 8\}

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\{2, 5, 8\}

Correct answerYour answer

\{1, 4, 7\}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

The class of 5 holds every number with remainder 2: 2 as well as 8.

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

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

On A={1,2,…,9}A = \{1, 2, \ldots, 9\}A={1,2,…,9}, RRR is given by aRba \mathrel{R} baRb if aaa and bbb leave the same remainder on division by 3. What is the equivalence class of 5?