If $A = [-5, 3)$ and $B = (1, \infty)$, is $3$ a member of $A \cap B$? 
If $A = [-5, 3)$ and $B = (1, \infty)$, what is $A \cap B$?

Since $3$ is not a member of $A$, do we include it in the intersection?

We do not include it in the intersection because it is not a member of $A$, so it is not a member of both sets, so it is not in the intersection.
