Omitting Education?

I'm actively searching for any job I can find, and in my search this includes fast food and retail. However, I have a bachelor's degree. Should I omit this information when applying for these minimum wage jobs? Does a background check reveal this information anyway?

I can just imagine a hiring manager seeing applications with degrees listed rejecting them because they are afraid of losing their job in the future to the hired applicant, but I'm just guessing.

I would really appreciate some feedback from hiring managers in these jobs.

Thank you.

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