You want to join two database tables, T_CARRIER and T_CONNECTIONS. Which statement would achieve a left outer join?

The statement that achieves a left outer join is the one which specifically uses the "LEFT OUTER JOIN" syntax, thus correctly indicating that all records from the left table (in this case, T_CARRIER) will be returned regardless of whether there is a corresponding match in the right table (T_CONNECTIONS). This is foundational in SQL for maintaining the integrity of the dataset from the left table while allowing for the inclusion of matching rows from the right table.

In the context of left outer joins, if there are no matches in T_CONNECTIONS for a row in T_CARRIER, the result will still include the T_CARRIER data, but with NULLs filling the columns from T_CONNECTIONS. This type of join is particularly useful when it is important to see all entries from the primary table (T_CARRIER) while considering related data from the secondary table.

Other statements either do not specify an outer join or utilize different types of joins which would not fulfill the requirement of including all rows from the left table in the results, thereby compromising the goal of a left outer join.