Let set of real numbers {x: a < x < b} is called
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{all x are real number, a€b ab<x}
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Intervals as subsets of R Let a, b ∈ R and a < b. Then
(a) An open interval denoted by (a, b) is the set of real numbers {x : a < x < b}
(b) A closed interval denoted by [a, b] is the set of real numbers {x : a ≤ x ≤ b)
(c) Intervals closed at one end and open at the other are given by
(a, b) = {x : a ≤ x < b}
(a, b) = {x : a < x ≤ b}
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