On A = 1, 2, , 10, R is given by a R b if | a - b | is even. What is the equivalence class of 4?

Relations & Functions · Question 48 of 125

Question 48

EasyOriginal question

On $A = \{1, 2, \ldots, 10\}$ , $R$ is given by $a \mathrel{R} b$ if $\lvert a - b \rvert$ is even. What is the equivalence class of 4?

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

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\{4\}

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\{4, 6, 8, 10\}

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\{2, 4, 6, 8, 10\}

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Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Worth noting

An even difference means the same parity, so the class of 4 is all the even numbers, 2 included.

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

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