Unbounded intervals, Mathematics

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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.


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