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Sagot :

Answer: The restaurant requires some additional forks in supply, there are currently 287 forks in the restaurant, and there should be at least 732.

The new forks come in sets of 10, the inequality which represents the number of sets that Peyton needs to buy is:

[tex]\begin{gathered} 10x+287\ge732\rightarrow(1) \\ \\ x\rightarrow\text{ Number of fork sets which contain 10 forks} \end{gathered}[/tex]

Therefore the inequality (1) represents the number of sets of forks that Peyton needs to buy, the solution for this inequality is as follows:

[tex]\begin{gathered} 10x+287\geqslant732 \\ \\ \\ 10x\ge732-287 \\ \\ \\ 10x\ge445 \\ \\ \\ x\ge\frac{445}{10} \\ \\ \\ x\ge44.5 \end{gathered}[/tex]