The sum of the squares of two different numbers is less than or equal to 49. Twice one of the numbers squared is less than the other number. Which system of inequalities represents these criteria?

Let the two numbers be x and y. Their squared values have a sum of at most 49, so x² + y² ≤ 49. “Twice one of the numbers squared is less than the other number” means 2x² < y. Together, these inequalities are choice A.

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