Question

prove that a relation R on a set is symmetric iff R=r-1​

Answer 1

Answer:

Assume R = R-1. To show that R is symmetric, we must show that for any arbitrary (x, y) in R, (y, x) is also in R. We have shown by direct proof that if R = R-1, then R is symmetric. ... Therefore, we have proven that the relation R on a set A is symmetric if and only if R = R-1.