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

question 19

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) half-open interval; \(\{ x | - 6 \leq x < - 2 | ; [ - 6 , - 2 )\)
• B) open interval; \(\{ x \mid - 6 < x < - 2 \} ; ( - 6 , - 2 )\)
• C) half-open interval; \(\{ x \mid - 6 < x \leq - 2 \} ; ( - 6 , - 2 ]\)
• D) closed interval; \(\{ x \mid - 6 \leq x \leq - 2 \} ; [ - 6 , - 2 ]\)

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