The other, which came in my married name (I usually hyphenate or use maiden) was from Sears. It had a credit processing number sticker on it and the envelope was addressed to "New Accounts Center." But it asked for my SSN and other information. I applied for the Sears card months ago (using my hyphenated surname--and yes, my CRs were so bad I got denied) Things have improved a bit--no open delinquent accts and four active trade lines, but why would they turn around and give me this so-called "preapproved" offer when they just denied me a few months ago? I donâ??t know if Iâ??m willing to risk another inquiry on Sears, but I thought Iâ??d ask if the way these offers came in tells me anything about how sure I am to get the cards. Oh yeah, I got another alumni card offer, you know the $100K limit, 2.9 APR, that looked mighty inviting, but obviously not something Iâ??m qualified for. Other than the obvious signals, how do you know what you really have a shot at getting?