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Quantitative Reasoning & Problem Solving
62 © 2014 Pacific Crest
3. Items can be difficult to place in sets, for example, is a tomato a fruit or a vegetable? Give another
example of items difficult to place in sets.
4. How are numbers divided into sets?
5. How are methods of solving equations divided into sets based on the degrees of polynomials?
6. How does alphabetical order apply a set partition on contacts or a file system?
Mathematical Language Terms and notation
complement — the complement of a set A are the objects in the universal set but not in set A; denoted
by Ac
intersection — the items in common between sets; denoted by the symbol ∩
meta-data — data about data, for example a set of pictures could have data about each picture like
when, who, where, what, etc.
not a subset — given two sets A and B, B is not a subset of A if there are items in B that are not in A;
denoted by B ⊆A
null set — a set that is empty or contains nothing; denoted by ∅
proper subset — given two sets A and B, B is a proper subset of A if all the items of B are in A and B
has fewer items than A; denoted by B⊂A
set — a collection of distinct objects
subset — given two sets A and B, B is a subset of A if all the items of B are in A; denoted by B⊆A
union — the items that are in either set;.commonly denoted by the symbol ∪
universal set — the set of all objects being considered
Venn diagram — a pictorial representation of sets where the universal set is a rectangle and sets are
represented by circles and the common elements are represented by the regions of overlap.
Information What you need to know
Readings Resources