Universal Set (U) - The set of all objects that are reasonable to consider in a situation., Venn Diagram - A method for visualizing sets and their relationships., Complement of a set A (A’) - The set of elements in the universal set that are not in A. All the things inside the rectangle that are not inside the circle representing set A. A’ = { x | x ∈ U and x ∉ A }., A is a Subset of b (A⊆B) - If every element of a set A is also an element of a set B. if there are no elements in A that are not also in B. When one set is contained in a second set, we call the smaller set a subset of the larger one., A is a Proper Subset of B (A⊂B) - If a set A is a subset of a set B and is not equal to B. That is, A⊆B and A ≠ B., Intersection (A∩B) (and) - The set of all elements that are in both sets. Objects that are common to two or more sets. A∩B = { x | x ∈ A and x ∈ B }., Set Operation - A rule for combining two or more sets to form a new set., Disjoint Sets - When the intersection of two sets is the empty set. If the sets have no elements in common., Union (A∪B) (Or) - The set of all elements that are in either set A or set B or both. A∪B = { x | x ∈ A or x ∈ B }., Difference of Sets (set subtraction) - The set of elements in set A that are not in set B. A-B = { x | x ∈ A and x ∉ B }.,

Subsets and Set Operations

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