On Z, a R b if | a | = | b |. What is the equivalence class of 3?

Relations & Functions · Question 52 of 125

Question 52

EasyOriginal question

On $\mathbb{Z}$ , $a \mathrel{R} b$ if $\lvert a \rvert = \lvert b \rvert$ . What is the equivalence class of 3?

\{3\}

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\{0, 3\}

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\{-3, -2, -1, 0, 1, 2, 3\}

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\{-3, 3\}

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Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

$\{3\}$ forgets $-3$ , which has the same modulus.

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

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