Practice Discrete Math

Relations / Sql Join Reasoning

Least You Need to Know: SQL Joins as Relation Operations

SQL joins are concrete relation operations. Interview questions about joins usually reduce to three ideas: which rows survive, when rows duplicate, and when missing matches turn into `NULL` values.

The least you need to know

Key notation

R ⋈ S inner join of relations R and S on a stated matching condition
LEFT JOIN preserve all rows from the left relation and fill unmatched right values with NULL
bridge table table storing association pairs for a many-to-many relation

Tiny worked example

  • Suppose `Customers(id, name)` joins with `Orders(id, customer_id)` on `Customers.id = Orders.customer_id`.
  • An inner join keeps only customers who have at least one matching order.
  • A left join keeps all customers; customers without orders still appear once with order columns as `NULL`.
  • If one customer has three orders, that customer's row information appears three times in the joined result.

Common mistakes

How to recognize this kind of problem

Start practice