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?

This question might make more sense if you try to  visualise it. When you plot it on the number line, it will be clear to you. You should be getting $A\cap B$ to be $(1,3)$.
