After looking around on the Google Play Store, I've found a lot of apps that 'I like the look of'. But by tapping on them, quite a lot of the time it says "This app is incompatible with your Android version." Is there any way around that?
P.S:I don't have any other Android devices and no, I haven't edited any of the files.
The Android Market pulls the OS version directly from the system. As far as I'm aware there's no way to fake this other than building a custom ROM that fakes it, or possibly some sort of code injection.
As ce4's comment says, you'll need to obtain the app from a different device running a supported OS or through some other means (a different app store for example).
Yes there is a way first download apk editor pro from ihackdit.com then open it select any apk file that u want to run then click on it then tap on the option full edit then slide to third page and then select option below application line the type min version14and Max14 then click save above and then install the app and enjoy