1. List the operations of relational algebra and the purpose of each. 2. What is union compatibility? Why do the UNION, INTERSECTION, and DiFFERENCE operations require that the relations on which they are applied be union compatible? 3. Discuss some types of queries for which renaming of attributes is necessary in order to specify the query unambiguously. 4.Discuss the various types of inner join operations. Why is theta join required?