Equal

Definition

Equal means having the same value or amount. In set theory, two sets are equal if they contain exactly the same elements.

5 Must Know Facts For Your Next Test

1. Two sets A and B are equal if every element of A is in B and every element of B is in A.
2. Equality of sets is denoted by the symbol '='.
3. If set A = {1, 2, 3} and set B = {3, 2, 1}, then A equals B since they contain the same elements.
4. The order of elements does not matter when determining if two sets are equal.
5. Empty sets are always equal to each other; ∅ = ∅.

Review Questions

• What conditions must be met for two sets to be considered equal?
• Does the order of elements affect the equality of two sets?
• Are two empty sets considered equal?

Related terms

Subset: A set where all its elements are contained within another set.

Union: The set containing all elements from both sets being combined.

Intersection: The set containing all elements that are common to both sets.