How can I determine in SQL Server if a dateTime range overlaps another

You can do like this

declare @T table (ID int, startDateTime datetime, endDateTime datetime)

insert into @T values
(  1 , '2010-01-01 10:30:00' , '2010-01-01 11:00:00'),
(  2 , '2010-01-01 10:30:00' , '2010-01-01 11:30:00'),
(  3 , '2010-01-01 11:00:00' , '2010-01-01 11:30:00'),
(  4 , '2010-01-01 11:00:00' , '2010-01-01 12:00:00'),
(  5 , '2010-01-01 11:30:00' , '2010-01-01 12:00:00')

declare @startDateTime datetime
declare @endDateTime datetime


set @startDateTime="2010-01-01 11:00:00"
set @endDateTime="2010-01-01 11:30:00"

select *
from @T
where
  startDateTime < @endDateTime and
  endDateTime > @startDateTime

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