# Abstract Algebra question

1. ### freefizix

2
This question links to a former discussion on the board. I'm confused regarding this thread:

Specifically, towards the end of the thread, the asker states (in regards to the union notation originally cited):

"....if we say that x is an element of the union of those sets, then we know x is an element of at least one of those sets. "

I thought the "or" conditional of the union meant that one (and only one) match occurs for x for the notation to be true. I could be wrong....