[broadside]

But that is specific to places that sell alcohol is it not? So a hardware store or tire shop or department store are still off limits if posted.

From 4-101:

25. "On-sale retailer" means any person operating an establishment where spirituous liquors are sold in the original container for consumption on or off the premises or in individual portions for consumption on the premises.

From 4-229:

A. A person may carry a concealed handgun on the premises of a licensee who is an on-sale retailer unless the licensee posts a sign that clearly prohibits the possession of weapons on the licensed premises. The sign shall conform to the following requirements:
1. Be posted in a conspicuous location accessible to the general public and immediately adjacent to the liquor license posted on the licensed premises.
2. Contain a pictogram that shows a firearm within a red circle and a diagonal red line across the firearm.
3. Contain the words, "no firearms allowed pursuant to A.R.S. section 4-229".
B. A person shall not carry a firearm on the licensed premises of an on-sale retailer if the licensee has posted the notice prescribed in subsection A of this section.
C. It is an affirmative defense to a violation of subsection B of this section if:
1. The person was not informed of the notice prescribed in subsection A of this section before the violation.
2. Any one or more of the following apply:
(a) At the time of the violation the notice prescribed in subsection A of this section had fallen down.
(b) At the time of the violation the person was not a resident of this state.
(c) The licensee had posted the notice prescribed in subsection A of this section not more than thirty days before the violation.
D. The department of liquor licenses and control shall prepare the signs required by this section and make them available at no cost to licensees.
E. The signs required by this section shall be composed of block, capital letters printed in black on white laminated paper at a minimum weight of one hundred ten pound index. The lettering and pictogram shall consume a space at least six inches by nine inches. The letters constituting the words "no firearms allowed" shall be at least three-fourths of a vertical inch and all other letters shall be at least one-half of a vertical inch. Nothing shall prohibit a licensee from posting additional signs at one or more locations on the premises.
F. This section does not prohibit a person who possesses a handgun from entering the licensed premises for a limited time for the specific purpose of either:
1. Seeking emergency aid.
2. Determining whether a sign has been posted pursuant to subsection A of this section.