Mathematics: Unit 1: Sets

Set

A group of elements

Elements

The individual members in a set, listed within braces

Equivalent sets

Two ore mores sets that have the same number of elements

Equal sets

Two or more sets that are exactly the same- order doesn't matter

Finite set

A set where the elements can be counted

Infinite Set

A set with no end to its members

Empty/null Set

A set with no elements

Subset

A set whose elements are all contained in another larger set

Natural or counting numbers

Starts with one, Therese numbers are the numbers you would count

Whole numbers

Starts with zero, counts on

Integers

It is the set of whole numbers plus their opposites (negatives)

Rational Numbers

Any number that can be written as a fraction, a terminating decimal , or a repeating decimal

Irrational number

Any number that isn't rational, non repeating, nonterminating decimals, plus pie

Real numbers

All numbers (no exceptions)

Positive Integers

It is the set of all positive whole numbers

Complementary Set

The set of all the elements within a particular universal set that are not elements of the given set.

Greater than or Less than

> (opening to the bigger number)

Greater than or equal to

opening to the bigger number

Intersection

The set formed by the elements that belong to two or more sets.

Union

The set formed by combining all the elements of two or more sets.

Set Notation {x | x > 0}

The set of all x such that x is greater than 0