Mathematics · Set Theory and Real Analysis
Match List-I with List-II (Given a, b ∈ ℝ with b > a): List-I (Types of Interval) (A) Closed Interval (B) Open Interval (C) Unbounded Interval (D) Half-Open Interval List-II (Mathematical Representation) I. [a, b) = {x ∈ ℝ : a ≤ x < b} II. [a, b] = {x ∈ ℝ : a ≤ x ≤ b} III. [a, ∞) = {x ∈ ℝ : a ≤ x} IV. (a, b) = {x ∈ ℝ : a < x < b} Choose the correct answer from the options given below:
- 1(A) - (I), (B) - (IV), (C) - (III), (D) - (II)
- 2(A) - (II), (B) - (IV), (C) - (III), (D) - (I)✓
- 3(A) - (II), (B) - (III), (C) - (IV), (D) - (I)
- 4(A) - (III), (B) - (IV), (C) - (I), (D) - (II)
Correct answer
(A) - (II), (B) - (IV), (C) - (III), (D) - (I)
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