Last week, Sarah wrote about how the Kroger supermarket chain was responding to Moms Demand Action’s petition to ban open carry in their stores. Kroger spokesman Keith Dailey said, "We know that our customers are passionate on both sides of this issue and we trust them to be responsible in our stores."
While it’s from a pro-gun control organization, the Wall Street Journal published a good map from them showing where the open carrying of handguns is legal.
So, while anti-gun organizations, like Moms Demand Action, try to pressure business in denying a citizen's right to protect themselves in public, open carry is recognized in all but six states; making a store ban on such practices more of a symbolic victory. Gun owners can take their business elsewhere, with their firearms on their person.
But it's always smart to continually check for changes in state gun laws, especially if you're traveling.
Side note: It's legal to open carry rifles in Texas, but not handguns. Carrying handguns in Texas is only legal if you have a concealed carry permit.