In this question, we have to write a set of points from -4 to 3 but excluding -1 and 3 as a union of intervals .
Set of points from -4 to 3 can be written as
[tex][-4,3 ][/tex]
But we need to exclude -1 and 3 and write the final answer in union of sets .
So we put -1 and 3 in the intervals and put () with these numbers, that is
[tex][-4,-1)U(-1,3)[/tex]
And that's the final answer .