I-94 submission during departure

GSXR1000

Registered Users (C)
During the last time I traveled, in May 2002, I submitted my I-94 departure card (with F-1/DS stamp) to the airline. I was also carrying with me at that time an H1-B notice (I-797) back so as to get a new H1B visa. While departing I did not submit the I-94 tearout slip from the I797 notice, but only the I-94 arrival/departure card (white card). On return, at the airport the immigration officer gave me an I-94 arrival/departure card with H1-B stamp, but he did not tear out the I-94 slip from the I-797 notice.

Should I submit the I-94 arrival/departure card I got from the officer at the airport last time, along with the I-94 slip from the I-797 notice, this time when I travel this month, or just the card?

Thanks
 
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