Consider the following relational schema and answer the following questions. User (email, name, address, householdSize)   a. Express in relational algebra the query that finds all pairs of users where the two people both claim to have a household size 2 and have the same address and returns their names and the common address.               b. Express the above query in SQL.               c. Write in SQL the query that finds the users whose household size is at least 50% more than the average household size and returns their name and household size, sorted by household size. (Hint: decompose the problem into sub-problems, and you may use a view to capture an intermediate result.)                 d. Write in SQL the query that finds all users each having a household size different from the total number of users having the same address as him or her. (Hint: again, decompose the problem into sub-problems, and you may use a view to capture a intermediate result.)

1. Consider the following relational schema and answer the following questions.

User (email, name, address, householdSize)

a. Express in relational algebra the query that finds all pairs of users where the two people both claim to have a household size 2 and have the same address and returns their names and the common address.

b. Express the above query in SQL.

c. Write in SQL the query that finds the users whose household size is at least 50% more than the average household size and returns their name and household size, sorted by household size. (Hint: decompose the problem into sub-problems, and you may use a view to capture an intermediate result.)

d. Write in SQL the query that finds all users each having a household size different from the total number of users having the same address as him or her. (Hint: again, decompose the problem into sub-problems, and you may use a view to capture a intermediate result.)