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

Question

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; $\{ x \mid 5 < x \leq 8 \} ; ( 5,8 ]$

Quizplus · Accepted Answer

The Answer of 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; $\{ x \mid 5 < x \leq 8 \} ; ( 5,8 ]$

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