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The inequality representing the number of donuts that Lydia still needs to sell is:
525 - 55x ≥ 0
Where x is the number of donuts Lydia has already sold.
Solving for x:
525 - 55x ≥ 0
55x ≤ 525
x ≤ 9.55
So, Lydia still needs to sell at least 9 donuts to make a profit for the day. The correct inequality symbol is ≤, therefore the correct answer is ≤ 470.