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

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Solution

(i) $(- 3, 0) = {x : x ϵ R, - 3 < x < 0}$
(ii) $[6, 12] = {x : x ϵ R, 6 \leq x \leq 12}$
(iii) $(6, 12] = {x : x ϵ R, 6 < x \leq 12}$
(iv) $[- 23, 5) = {x : x ϵ R, - 23 \leq x < 5}$

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