Is my Relational Algebra correct?

RESULT <-- PROJECT<STUDENT.FirstName, STUDENT.LastName, STAFF.FirstName,
STAFF.INCIDENT.LastName, INCIDENT.DateTimeReported,
INCIDENT.NatureOfIllness(SELECTINCIDENT.DecisionMade =
  ''(Staff RIGHT JOIN<STAFF.StaffID = INCIDENT.StaffID>
(INCIDENT LEFT JOIN<INCIDENT.StudentID = STUDENT.StudentID>(STUDENT))))

SELECT
  s.FirstName, s.LastName, st.FirstName, st.LastName
  , i.DateTimeReported, i.NatureOfIllness
FROM Student s
RIGHT JOIN Incident i ON s.StudentID = i.StudentID
LEFT JOIN Staff st ON st.StaffID = i.StaffID
WHERE i.DecisionMade = ''

RESULT <---
   PROJECT <STUDENT.FirstName, STUDENT.LastName,
                     STAFF.FirstName, STAFF.LastName,
                     INCIDENT.DateTimeReported, INCIDENT.NatureOfIllness>
      (SELECT <INCIDENT.DecisionMade = ''>
         ((STUDENT RIGHT JOIN <STUDENT.StudentID = INCIDENT.StudentID> INCIDENT)
             LEFT JOIN <INCIDENT.StaffID = STAFF.StaffID> STAFF)

SELECT s.FirstName, s.LastName, st.FirstName, st.LastName, i.DateTimeReported, i.NatureOfIllness
FROM Incident i
LEFT JOIN Student s ON s.StudentID = i.StudentID
LEFT JOIN Staff st ON st.StaffID = i.StaffID
WHERE i.DecisionMade = ''