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Let x be the number of sets of forks Peyton could buy.
The total number of forks she would have if she bought x sets is 287 + 10x.
We want to find x such that 287 + 10x is greater than or equal to 732.
Therefore, the inequality is: 287 + 10x ≥ 732.
To solve for x, we subtract 287 from both sides:
10x ≥ 445.
Finally, we divide by 10 to isolate x:
x ≥ 44.5.
Since x represents the number of sets of forks, and we cannot have a fraction of a set, Peyton needs to buy at least 45 sets of forks to ensure the restaurant has enough forks.