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.
-
A) closed interval; $\{ x \mid - 9 \leq x \leq - 3 \} ; [ - 9 , - 3 ]$
B) half-open interval; $\{ x \mid - 9

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.
-
A) closed interval; $\{ x \mid - 9 \leq x \leq - 3 \} ; [ - 9 , - 3 ]$ 
B) half-open interval; $\{ x \mid - 9 < x \leq - 3 \} ; ( - 9 , - 3 ]$ 
C) half-open interval; $\{ x \mid - 9 \leq x < - 3 \} ; [ - 9 , - 3 )$ 
D) open interval; $\{ x \mid - 9 < x < - 3 \} ; ( - 9 , - 3 )$

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.
-
A) closed interval; $\{ x \mid - 9 \leq x \leq - 3 \} ; [ - 9 , - 3 ]$ 
B) half-open interval; $\{ x \mid - 9 < x \leq - 3 \} ; ( - 9 , - 3 ]$ 
C) half-open interval; $\{ x \mid - 9 \leq x < - 3 \} ; [ - 9 , - 3 )$ 
D) open interval; $\{ x \mid - 9 < x < - 3 \} ; ( - 9 , - 3 )$

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