Putting a border around a table "tr" tag

I tried using CSS to put a border around the TR tag of a table. I found it did not work. The border doesn't appear at all.

So instead, I tried putting the border around each TD of the TR. So suppose there are 5 TDs in the TR.
I might style TD #3 as having border-top and border-bottom of solid, red, etc.
For a TD all the way at the left, I would also add a border-left (of solid, red, etc).

The problem is though that when you view the CSS, you can see the boundaries between each TD. So even though the red line does go around the entire set of TDs, it is broken up. There are annoying white breaks between cells.

I tried using a padding and a margin of zero between cells, and I also tried a border-width of zero, between cells, but it doesn't help.

Is there a solution to this?
Thanks
Gid