Multiple conditions on the same column in the WHERE clause

select PropertyVal
from your_table
where PropertyID = 7
and RecordID in 
(
  select RecordID   
  from your_table
  where (PropertyID = 13 AND PropertyVal='Business Development Analyst')
     or (PropertyID = 11 AND PropertyVal = 'Chicago')
  group by RecordID   
  having count(distinct PropertyID) = 2
)

Not sure what you want exactly. It's probably either

...
where (PropertyID = 13 AND PropertyVal='Business Development Analyst')
   or (PropertyID = 11 AND PropertyVal = 'Chicago')

or

...
where PropertyID in (13, 11) 
and PropertyVal in ('Business Development Analyst', 'Chicago')