On A = 1, 2, , 12, R is given by a R b if a - b is divisible by 4. What is the equivalence class of 7?

Relations & Functions · Question 59 of 125

Question 59

MediumOriginal question

On $A = \{1, 2, \ldots, 12\}$ , $R$ is given by $a \mathrel{R} b$ if $a - b$ is divisible by 4. What is the equivalence class of 7?

\{3, 7, 11\}

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\{4, 8, 12\}

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\{7, 11\}

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\{1, 3, 5, 7, 9, 11\}

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Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Worth noting

Stepping by 4 from 7 within 1 to 12 gives 3 as well as 11.

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

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