Question

Write the following intervals in set – builder form: ,

(i) (-3, 0)

(ii) [6, 12]

(iii) (6,12]

(iv) [-23, 5).

Answer 1

(i) (-3, 0) = {x: x ∈ R, -3 < x < 0}

(ii) [6, 12] = {x: x ∈ R, 6 < x ≤ 12]

(iii) (6,12] = {x: x ∈ R, 6 < x ≤ 12}

(iv) [-23, 5)=[x: x ∈ R,-23 ≤ x < 5}.