Give an expression in relational algebra for the following relational database schema:

Employee (employee-id, person_name, street, city)

Works (person_name, company_name, salary)

Company (company_name, city)

Manages(person_name, manager_name)

a) Find the names of all employees who live on English Street in Greensboro.

b) Find the names and cities of residence of all employees who work for High Place Bank.

c) Find the names of all employees who live in the same city they work in.