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Discrete Math Course 3. Decide and explain whether or not S is an equivalence relation on...

Discrete Math Course

3. Decide and explain whether or not S is an equivalence relation on Z , if ??? ??? 3 ??????? ?+2?

4. Find the transitive closure of the relation ?={(?,?),(?,?),(?,?),(?,?),(?,?)} on the set ?={?,?,?,?,?}. Draw a directed graph of ? (not its closure).

5. Decide and explain whether or not the set ?={?/4∶?∈?} is a countable

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