Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞  and -  ∞  . The various types of intervals, if  "a" happens to be a real number, are:

1. (a, +  ∞  is the set of all real numbers x such that a < x.

2. (-  ∞  a) is the set of all real numbers x such that x < a.

3. [a, +  ∞  is the set of all real numbers x such that a ≤ x.

4. (-  ∞  , a] is the set of all real numbers x such that x ≤ a.

Posted Date: 9/13/2012 2:15:50 AM | Location : United States

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