MATH 100 Study Guide - Final Guide: Empty Set, Subset, Codex Corbeiensis I

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1 math 100 (fall 2018) lecture 1 summary. Sets are indicated by capital variables: a, b, c, , x, y, *note* - elements of a set are not limited to numbers; they can be anything, including letters and other sets. We describe sets by two means: (1)listing all elements between braces, or (2)us- ing set-builder notation, in which the properties of the elements are listed be- tween the braces to uniquely identify the pattern that de nes the set. A = {x : c z, |x| 4} (1) (2) As in the case with equation (2), multiple ways of writing the set-builder state- ment will exist. All will follow the general form of a ={x : ( such that ) expression/conditions} It represents a set with no elements {} X is the cardinality, or size of the set. This value is equal to the number of elements contained in x.

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