whats the relational algebra query for the following examples? $**$Names and faculty$\_$ids of all Professors who are teaching$**$

$**$or have taught at least once in classrooms that have a$**$

$**$capacity of $>100.**$

$**$What if we wanted names and faculty ids of professors who have$**$

$**$only ever taught in classrooms with capacity $>100?**$