Answer
(-1,0)
Work Step by Step
We are looking for an intersection of sets
(-2,0) and (-1,1) which is denoted: (-2,0 )$\cap$(-1,1)
Intersection of two sets is a set of elements that
these two sets have in common, the first sets
elements range from -2 up to 0 and parenthesis
mean that endpoints are not included in the set,
similarly second sets elements range from -1 up to 1
and endpoints are not included again.
Solution is set (-1,0) because that is a number line
segment they both share and endpoints are not
included because even though -1 is the element
of set (-2,0) it isn't element of set (-1,1) and similarly
0 is included in (-1,1) but isn't in (-2,0).
