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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 4 years, 2 months ago

    CBSE > Class 12 > Mathematics
    • 2 answers

    Sumit Kumar 4 years, 2 months ago

    Hii

    0Thank You

    Yogita Ingle 4 years, 2 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

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