Bifalgorithm post · Brisk · Chapter 1
Is the empty set both an element and a subset of X?
Is the empty set both an element and a subset of X? (Brisk · Chapter 1) — "X = { Q, ∅ , { Z } }. Is ∅ ∈ X ? Is ∅ ⊆ X ? Yes and yes. The empty set is an element…
Ideas in this flowchart
- For X = { Q, ∅, { Z } }, both ∅ ∈ X and ∅ ⊆ X are true.
- X contains Q, ∅, and { Z } as its elements.
- ∅ ∈ X.
- The empty set is an element of X because it is explicitly listed among the elements.
- ∅ ⊆ X.
- The empty set is a subset of every set, including X.
