SOLUTION:

Rudy sent a valentine to Denise;
Vanessa sent a valentine to Rudy;
Theo sent a valentine to Sondra;
Denise sent a valentine to Theo; and
Sondra sent a valentine to Vanessa.

LOGIC SEQUENCE:

Clue #1 indicates that Theo sent a valentine to either Denise or Sondra.

Clue #2 reveals that Sondra sent a valentine to either Rudy or Vanessa.

According to clue #3, Denise did not send Vanessa’s valentine. Also, Rudy sent Denise’s valentine.

By elimination, Theo sent Sondra’s valentine.

Since Rudy sent Denise’s card, Denise could not have sent Rudy’s valentine; so Denise’s card went to Theo.

Vanessa could not have sent a valentine to herself, so hers went to Rudy, and Sondra’s went to Vanessa.

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