Question 177249
Do you want to convert to interval notation?


If so, then take note that the first sign is a "less than or equal to" sign. So this means that the left brace will be a bracket [. Since the second sign is a "less than" sign, this means that the next brace is a right parenthesis ).



So the compound inequality {{{-9<=x<-4}}} in interval notation is:


<font size="8">[</font>*[Tex \LARGE \bf{-9,-4}]<font size="8">)</font>



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|-9 \le x < -4\right\}]



Here's the graph of the solution set


{{{drawing(500,80,-14, 1,-10, 10,
number_line( 500, -14, 1 ,-9),

blue(line(-9,0,-4,0)),
blue(line(-9,0.30,-4,0.30)),
blue(line(-9,0.15,-4,0.15)),
blue(line(-9,-0.15,-4,-0.15)),
blue(line(-9,-0.30,-4,-0.30)),
circle(-4,0,0.25),
circle(-4,0,0.20)

)}}} Graph of the solution set


Note:

There is a <b>closed</b> circle at {{{x=-9}}} which means that we're including this value in the solution set

Also, there is an <b>open</b> circle at {{{x=-4}}} which means that we're excluding this value from the solution set.