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Friday, October 22, 2010

Danielle, Interval Notation - Here is an easier way of understanding intervals

 Interval Notation:  (description)
(diagram)
Open Interval:   (a, b)  is interpreted as a < x < b  where the endpoints are NOT included.(While this notation resembles an ordered pair, in this context it refers to the interval upon which you are working.)
(1, 5)
Closed Interval:  [a, b]  is interpreted as < x < b  where the endpoints are included.
[1, 5]
Half-Open Interval:  (a, b]  is interpreted as a < x < b where a is not included, but b is included.
(1, 5]
Half-Open Interval:  [a, b) is interpreted as < x < bwhere is included, but b is not included.
[1, 5)
Non-ending Interval:   is interpreted as x > a where ais not included and infinity is always expressed as being "open" (not included).

Non-ending Interval:   is interpreted as < b whereb is included and again, infinity is always expressed as being "open" (not included).

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