Googling around, the popular answer seems to be "just turn off safe mode":
SET SQL_SAFE_UPDATES = 0;
DELETE FROM instructor WHERE salary BETWEEN 13000 AND 15000;
SET SQL_SAFE_UPDATES = 1;
If I'm honest, I can't say I've ever made a habit of running in safe mode. Still, I'm not entirely comfortable with this answer since it just assumes you should go change your database config every time you run into a problem.
So, your second query is closer to the mark, but hits another problem: MySQL applies a few restrictions to subqueries, and one of them is that you can't modify a table while selecting from it in a subquery.
Quoting from the MySQL manual, Restrictions on Subqueries:
In general, you cannot modify a table and select from the same table in a subquery. For example, this limitation applies to statements of the following forms:
DELETE FROM t WHERE ... (SELECT ... FROM t ...); UPDATE t ... WHERE col = (SELECT ... FROM t ...); {INSERT|REPLACE} INTO t (SELECT ... FROM t ...);
Exception: The preceding prohibition does not apply if you are using a subquery for the modified table in the FROM clause. Example:
UPDATE t ... WHERE col = (SELECT * FROM (SELECT ... FROM t...) AS _t ...);
Here the result from the subquery in the FROM clause is stored as a temporary table, so the relevant rows in t have already been selected by the time the update to t takes place.
That last bit is your answer. Select target IDs in a temporary table, then delete by referencing the IDs in that table:
DELETE FROM instructor WHERE id IN (
SELECT temp.id FROM (
SELECT id FROM instructor WHERE salary BETWEEN 13000 AND 15000
) AS temp
);
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