Consider the following relations:

Worker$($Pid$,$ person$-$name, street, city, Contact, age, Gender$)$ works$($Pid$,$ CID, salary$)$

Company$($CID$,$ company$-$name, city, contact$)$ manages$($Pid$,$ manager$-$name$)$

Write the following Query in relational algebra:

$($i$)$ How many senior citizen female worker is working in the company?

$($ii$)$ Display the female worker details who are getting salary more than $10000.$

$($iii$)$ Display the worker details who are working in Chennai.

$($iv$)$ Display the manager name of all male worker.