# If Y and Z are symmetric, then Z U Y is symmetric. How do I prove this or disprove?

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- Anonymous6 years agoFavorite Answer
Pf using contradiction.

Suppose z union y is not symmetric. Then there exists an element (a, b) such that (b, a) is not in z union y.

Since (a, b) is in z union y, then (a, b) is in z or in y.

If it is in z and z is symmetric, then (b, a) shld...

Similarly if it is in y,..

Dada!!

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