Beginner question

I have a simple question.... I have been a scanner listener for 30+ years and a Ham for 20+ years. I have not been a very active Ham and only have a Tech license (VHF and UHF only).



I am interested in listening to 20 meter Ham radio operators to get a feel for things and help me decide if I want to bother upgrading my license, however I am very much more a listener than a talker.



This brings me to Shortwave radios... I have been looking at the RadioShack DX-3xx and DX-4xx series of radios, these seem like they should do what I want and are fairly inexpensive and available on eBay.



Dumb question time... Will these radios receive the 20 meter Ham band? It would seem so as they appear to receive in the 14MHz range.



I just can't seem to wrap my head around HF stuff.... I have been reading but it's just not clicking.



Thanks for the help!!