We can write directly too...
DECLARE @SearchLetter CHAR(1)
SET @SearchLetter = 'A'
SELECT *
FROM CUSTOMERS
WHERE CONTACTNAME LIKE @SearchLetter + '%'
AND REGION = 'WY'
or the following way as well if we have to append all the search characters then,
DECLARE @SearchLetter CHAR(1)
SET @SearchLetter = 'A' + '%'
SELECT *
FROM CUSTOMERS
WHERE CONTACTNAME LIKE @SearchLetter
AND REGION = 'WY'
Both these will work