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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:
(a, + ∞ is the set of all real numbers x such that a < x. (- ∞ a) is the set of all real numbers x such that x < a. [a, + ∞ is the set of all real numbers x such that a ≤ x. (- ∞ , a] is the set of all real numbers x such that x ≤ a.
(a, + ∞ is the set of all real numbers x such that a < x.
(- ∞ a) is the set of all real numbers x such that x < a.
[a, + ∞ is the set of all real numbers x such that a ≤ x.
(- ∞ , a] is the set of all real numbers x such that x ≤ a.
Case 1: Suppose we are given expressions like 3abc and 7abc and asked to compute their sum. If this is the case we should not worry much. Because adding like exp
Extrema : Note as well that while we say an "open interval around x = c " we mean that we can discover some interval ( a, b ) , not involving the endpoints, such that a Also,
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