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)
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Closed Interval: [a, b] is interpreted as a < x < b where the endpoints are included. | [1, 5]
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Half-Open Interval: (a, b] is interpreted as a < x < b where a is not included, but b is included. | (1, 5]
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Half-Open Interval: [a, b) is interpreted as a < x < bwhere a is included, but b is not included. | [1, 5)
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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 x < b whereb is included and again, infinity is always expressed as being "open" (not included). | |
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