Given the Set Sketched on the Number Line, Identify the Type

Multiple Choice

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite) , write the set using set-builder notation, and write the set using interval notation.
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A) open interval; $\{ x \mid - 3 < x < 2 \} ; ( - 3,2 )$
B) half-open interval; $\{ \mathrm { x } \mid - 3 \leq \mathrm { x } < 2 \} ; [ - 3,2 )$
C) half-open interval; $\{ x \mid - 3 < x \leq 2 \} ; ( - 3,2 ]$
D) closed interval; $\{ x \mid - 3 \leq x \leq 2 \} ; [ - 3,2 ]$