In 37-42, assume that R and S are relations on a set A. Prove or disprove each statement.
If R and S are symmetric, is symmetric? Why?
To prove or disprove that if R and S are symmetric, then is symmetric.
Assume that R and S are relations on a set A and both are symmetric.
Let us assume that R and S are symmetric and let
By the definition of the union and using
By the definition of symmetric:
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