Question

If R = { (a, b) : |a – b|= multiple of 2} is a relation on A ={ 1, 2, 3, 4, 5, 6, 7, 8, 9}

Then find equivalence class of 2

Answer 1

Answer:

R = { (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9), (1, 3), (1, 5), (1, 7), (1, 9), (2, 4), (2, 6), (2, 8), (3, 1), (3, 5), (3, 7), (3, 9), (4, 2), (4, 6), (4, 8), (5, 1), (5, 3), (5, 7), (5, 9), (6, 2), (6, 4), (6, 8), (7, 1), (7, 3), (7, 5), (7, 9), (8, 2), (8, 4), (8, 6), (9, 1), (9, 3), (9, 5), (9, 7) }

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