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Question

Mathematics Question on Finite and Infinite Sets

Write the following intervals in set-builder form:
(i) (-3, 0)
(ii) [6, 12]
(iii) (6, 12]
(iv) [-23, 5)

Answer

(i) (-3, 0) = {x:xR,3<x<0x: x ∈ R, -3 < x < 0}
(ii) [6, 12] = {x:xR,6x12x: x ∈ R, 6 ≤ x ≤ 12}
(iii) (6, 12] = {x:xR,6<x12x: x ∈ R, 6 < x ≤ 12}
(iv) [-23, 5) = {x:xR,23x<5x: x ∈ R, -23 ≤ x < 5}