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Question

A relation R on a set A is a symmetric relation if __________.

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Solution

A relation R on a set A is symmetric relation
i.e if (x, y) R for x, yA
⇔ (y, x)R
i.e if (x, y)R
⇔ (x, y)R 1
R = R1
Hence relation R on a set A is symmetric
If R = R1

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