Solution:
The first set given as;
[tex][-9,-1)[/tex]
Then in list form, the set is;
[tex]\lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace[/tex][tex]\lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace[/tex]
Also, the second set given as;
[tex](-3,4)[/tex]
Then, in list form, the set is;
[tex]\lbrace-2,-1,0,1,2,3\rbrace[/tex]
The intersection of the two sets is;
[tex]\begin{gathered} \lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace\cap\lbrace-2,-1,0,1,2,3\rbrace=\lbrace-2\rbrace \\ \\ \text{ Note that there are some real numbers on the number line} \end{gathered}[/tex]
Thus, the solution in interval notation is;
[tex](-3,-1)[/tex]
ANSWER: (-3,-1)
