Math: Set Theory Questions & Answers | Latest Update | Verified Answers | Grade A+

Set :: A collection of objects. EXAMPLE: A deck of cards, A class, a collection of all even integers. Element :: Each object in a set. EXAMPLE: the 2 of diamonds in a deck of cards is an element of that set. **A= Set: deck of cards --> u=Element: 2 of diamonds -----> u E A** / ***A= Set: deck of cards --> u=Element: Student -----> u E/ A*** Sets encountered in mathematics :: Z, 2Z, Q, R Z= :: Integers: -4, -3, -2, -1, 0, 1, 2, 3, 4...etc 2Z= :: Even integers: 2, 4, 6, 8,...etc Q= :: Rational numbers: number that can be written as a simple fraction. EX: 5 ---> 5/1 R= :: Real numbers: A set of numbers including counting, whole, integers, rational, and irrational Examples elemental notations :: 4 E 2Z ; 16 E Z ; 3 E/ 2Z ; the root of 3 E/ Q Defining a set :: Other than using words to define a set you can also define a set by LISTING OUT THEIR ELEMENTS: EXAMPLE: N= Natural numbers N = {0, 1, 2, 3, 4, ...} Empty Set :: A set with no elements. Denoted by the the 0/ (0 with a slash through it) or by { }. The empty set is ALWAYS a subset of every se