Given :
The restaurant needs at least 468 spoons.
There are currently 256 spoons.
Let the number of sets = x
Each set on sale contains 8 spoons,
So, the number of spoons = 8x
so, the inequality will be:
[tex]8x+256\ge468[/tex]Solve for x:
[tex]\begin{gathered} 8x\ge468-256 \\ 8x\ge212 \\ \\ x\ge\frac{212}{8} \\ \\ x\ge26.5 \end{gathered}[/tex]