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Let R be the equivalence relation …

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Let R be the equivalence relation in the set A={ 0,1,2,3,4,5} given by R={(a,b): 2 divides (a−?)}. Write the equivalence class [1].

Posted by Sayonika Pal 3 years, 11 months ago

CBSE > Class 12 > Mathematics

2 answers

Sumit Kumar 3 years, 11 months ago

Hii

0Thank You

Yogita Ingle 3 years, 11 months ago

Set A={0,1,2,3,4,5}

R be the equivalence relation on A.

Set R={(a,b)2divides(a−b)}

We have to find equivalnce class [0]

To find equivalence class {0},put b=0

⇒a−0 is multiple of 2 .

⇒ a is multiple of 2.

Multiples of 2 in given set are 0,2 and 4 .

Hence equivalence class {0}={0,2,4}

1Thank You

ANSWER

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