The inequality that will determine the number of items that need to be sold to make a profit is .

To make a profit, the money earned must be greater than the total costs. The expression 7.5x − 100 represents the money earned, while 79.86 + 5.8x represents the costs, so the profit condition is 7.5x − 100 > 79.86 + 5.8x. This is choice A.

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