Violet needs to order some new supplies for the restaurant where she works. The restaurant needs at least 800 glasses. There are currently 164 glasses. If each set on sale contains 6 glasses, write and solve an inequality which can be used to determine x, the number of sets of glasses Violet could buy for the restaurant to have enough glasses.

Answer 1

Let x be the number of sets of glasses Violet could buy.
The total number of glasses in x sets is 6x.
To have enough glasses, we need to have at least 800 glasses.
So, the inequality is 6x + 164 ≥ 800.
Subtracting 164 from both sides, we have 6x ≥ 636.
Dividing both sides by 6, we get x ≥ 106.
Therefore, Violet could buy at least 106 sets of glasses. Answer: \boxed{106}.