Bifalgorithm post · Brisk · Chapter 1
What is the difference between set membership and being a subset?
What is the difference between set membership and being a subset? (Brisk · Chapter 1) — "We learned that the “∈” symbol is used to indicate set membership: the…
Ideas in this flowchart
- Set membership and subset relations
- The symbol ∈ indicates that the element on the left is a member of the set on the right.
- The notation X ⊆ Y means that every member of X is also a member of Y.
- The reverse implication is not necessarily true; otherwise ⊆ would simply mean =.
- If A = {Dad, Lizzy} and K = {Dad, Mom, Lizzy}, then A ⊆ K.
- With ∈, the expression on the left is an element; with ⊆, the expression on the left is a set.
- The element on the left-hand side of ∈ might itself be a set.
