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Problem $4-48($LO $4-3)($Algo$)$

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Elroy, who is single, has taken over the care of his mother Irene in her old age. Elroy pays the bills relating to Irene's home. He also buys all her groceries and provides the rest of her support. Irene has no gross income.

Problem $4-48$ Part a $($Algo$)$

a$.$ What is Elroy's filing status?