Set notation

Task goals

• Test set membership using in/not-in notation and write a set using roster notation {}.
• Translate a shaded Venn diagram region into its set notation expression, and a set notation expression into the region it shades, for intersection, set difference, symmetric difference, and the complement of an intersection.
• State n(A), n(A union B), n(A intersect B), and n(A') directly from a Venn diagram, and calculate a complement or union cardinality using the inclusion-exclusion formula.
• Use subset notation (A subset B) and justify a subset relationship using the elements of each set.
• Extend set notation to a three-set Venn diagram, including n(A intersect B intersect C) and the "exactly two of the three" region.
• Critique a common cardinality error (adding n(A) and n(B) without subtracting the overlap) using notation.