After analyzing application dependencies, if an application doesn't have the compatible dependencies, this warning is shown:
"

 [App X] may not run as expected

Installing this app may not run as expected and will impact other apps due to incompatible dependencies.

To safely install [App X], it might be necessary to update [App 1], [App2], ... and [App N] to compatible versions.

".

It's not clear what will happen if a user installs this application. Does this mean that the application we are to install will not work correctly because it's dependent on other apps that are not compatible or can this install also break something in the environment?

Normally only the installed application will not work as expected and it should work fine if we solve the dependencies issue.
But having the mention that "and will impact other apps due to incompatible dependencies" creates doubts on if we will damage anything in the environment. 
If nothing will be harm, then this text should be removed, and only be left the information that the app to be installed will not work as expected. 
In case the app could cause any harm to the environment, then this should be detected and that warning should be shown only in case it can cause any damage to the environment.