I am having difficulties understanding how do I perform set operation like union or intersection on Relations.
In a question, I am asked to prove/disprove:
- If R & S are symmetric, is $R \cap S$ symmetric?
- If R & S are transitive, is $R \cup S$ transitive?
How do I do that? 1st, how does $R \cap S$ or $R \cup S$ look like? How can I write a formal prove/disprove for it? I am very bad at these proves ...