Question

Find the intersection if possibleExpress your answer in interval notation

Answer 1

The first set given as;

`[-9,-1)`

Then in list form, the set is;

`\lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace`
`\lbrace-9,-8,-7,-6,-5,-4,-3,-2\rbrace`

Also, the second set given as;

`(-3,4)`

Then, in list form, the set is;

`\lbrace-2,-1,0,1,2,3\rbrace`

The intersection of the two sets is;

`\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}`

Thus, the solution in interval notation is;

`(-3,-1)`

ANSWER: (-3,-1)