**Definition:**

**Let a, b∈R and a < b. Then the set {x∈R: a≤ x≤ b} is called a closed interval.**

**It is denoted by [a, b]. Thus closed interval [a, b] = { x∈R: a ≤ x ≤ b}. It is geometrically represented by**

**Open interval (a,b) = {x∈R: a < x < b}. It is geometrically represented by**

**Right open interval [a, b) = {x∈R: a ≤ x < b}. It is geometrically represented by**

**(a, ∞) = {x∈R : x > a} = {x∈R : a < x < ∞}**

**(−∞, a] = {x∈R : x ≤ a} = {x∈ R : −∞ < x < a}**

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