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; $\{ x \mid 5 < x < 8 \} ; ( 5,8 )$
B) half-open interval; $\{ x \mid 5 \leq x < 8 \} ; [ 5,8 )$
C) closed interval; $\{ x \mid 5 \leq x \leq 8 \} ; [ 5,8 ]$
D) half-open interval; $\{ x \mid 5 < x \leq 8 \} ; ( 5,8 ]$