Prove that the relation {\R} on {\Z}, defined by {\R}\{( {\x}, {\y}):( {\x}- {\y}) is divisible by 5\} is an equivalence relation.

CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

Section - C

Q. Nos. 27 to 32 carry 4 marks each.

Question : 27 of 36

Marks: +1, -0

Prove that the relation

{\R}

{\Z}

, defined by

{\R}\{( {\x}, {\y}):( {\x}- {\y})

is divisible by 5

\}

is an equivalence relation.

Solution:

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