Write the following intervals in set-builder form :

(i) (-3, 0) (ii) [6, 12]

(iii) [-23, 5]

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Solution

(i) The interval (-3, 0) can be written in set-builder form as {x : x $\in$ R, -3 < x < 0}.

(ii) The interval [6, 12] can be written in set-builder form as {x : x $\in R, 6 \leq x \leq 12$ }.

(iii) The interval [-23, 5] can be written in set-builder form as {x : x $\in R, - 23 \leq x < 5$ }.

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