Number Set Notation

Reminder Counting numbers Natural Numbers: Positive and negative counting numbers Integers: a number that can be expressed as an integer fraction Rational Numbers: a number that can NOT be expressed as an integer fraction Irrational Numbers: NONE Symbol The set of all rational and irrational numbers Real Numbers:

Set Notation Not Included The interval does NOT include the endpoint(s) Interval NotationInequality NotationGraph Parentheses ( ) < Less than > Greater than Open Dot Included The interval does include the endpoint(s) Interval NotationInequality NotationGraph Square Bracket [ ] ≤ Less than or equal ≥ Greater than or equal Closed Dot

Graphically and algebraically represent the following: All real numbers greater than 11 Graph: Inequality: Interval: Example Infinity never ends. Thus we always use parentheses to indicate there is no endpoint.

Describe, graphically, and algebraically represent the following: Description: Graph: Interval: Example All real numbers greater than or equal to 1 and less than 5

Describe and algebraically represent the following: Describe: Inequality: Interval: Example All real numbers less than -2 or greater than 4 The union or combination of the two sets.