Card weaving and tablet weaving are exactly the same. Some people just call the cards "tablets". There is no different in technique or tools.

Inkle weaving is narrow-ware weaving done on one of these: http://www.waynesthisandthat.com/images/inkle1.jpg

Weaving-wise, card/tablet weaving produces a particular weave because you turn the cards. Inkle weaving is typically plain weave.

You can tell the difference between card and inkle weaving by looking at the weave.

But to confuse things, you can warp cards onto your inkle loom and do card-weaving on it. But then it becomes card weaving, not inkle weaving.

Edited at 2012-07-06 07:21 pm (UTC)

What Kass said!

I should add that there's no real way to know if a narrowware was woven on an inkle loom or on another type of loom that produces narrowwares. But card/tablet weaving always imparts a distinctive structure to the pieces it produces.

There is some argument that inkle looms aren't period devices (because we have no pictures or extant looms from pre-1600). However, the weave they produce is the simplest weave (1/1) so there is nothing un-period about the bands they produce. If you see what I mean...