If you have MySQL version >= 5.7, then you can try this:
SELECT JSON_EXTRACT(name, "$.id") AS name
FROM table
WHERE JSON_EXTRACT(name, "$.id") > 3
Output:
+-------------------------------+
| name |
+-------------------------------+
| {"id": "4", "name": "Betty"} |
+-------------------------------+
Please check MySQL reference manual for more details:
https://dev.mysql.com/doc/refman/5.7/en/json-search-functions.html