Write the following intervals in set-builder form:

Question:

Write the following intervals in set-builder form:

(i) (–3, 0)

(ii) [6, 12]

(iii) (6, 12]

(iv) [–23, 5)

Solution:

(i) (–3, 0) = {x∈ R, –3 < x < 0}

(ii) [6, 12] = {x∈ R, 6 ≤ x ≤ 12}

(iii) (6, 12] ={x∈ R, 6 < x ≤ 12}

(iv) [–23, 5) = {x∈ R, –23 ≤ x < 5}

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