You can claim him, yes, because he is a student under 24. The test for support for a Qualifying Child does not depend on his income, but rather on whether or not he provided at least half of his own support. I really doubt that he did on $4500 of income, as his schooling alone was paid for by someone else. And since he is still considered to live with you, he is your qualifying child. This link may help you to understand this: <a rel="nofollow" target="_blank" href="
https://www.irs.gov/credits-deductions/individuals/earned-income-tax-credit/qualifying-child-rules">...>
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